Roberto André Kraenkel

Roberto André Kraenkel
Full Professor of Physics at the Institute for Theoretical
Physics, State University of São Paulo, Brazil
Personal Data
Nationality
São Paulo, Brazil
Brazilian and German
Home-page
http://www.ift.unesp.br/users/kraenkel
Place of Birth
Current Research Focus
Mathematical Biology / Complex Systems
mainly mathematical population biology applied to ecology, epidemics and environmental problems
Nonlinear Waves in Hydrodynamics
mainly asymptotics of surface waves in fluids
Education
1981
1984
1988
2005
B.Sc., Physics Institute, USP, São Paulo.
M.Sc., Physics Institute, USP, São Paulo.
Ph.D., Institute for Theoretical Physics, São Paulo.
Livre-Docência, Institute for Theoretical Physics-UNESP, São Paulo.
Master thesis
title
supervisor
Some applications of Global Differential Geometry to General Relativity
Carlos E. Harle
PhD thesis
title
supervisor
Exterior Variational Calculus
Ruben Aldrovandi
B [email protected]
1/13
Livre-Docência
title
Waves in Fluids: four contributions
Post-Doctoral Experience
1988-1990
Post-Doc visitor at the Institut des Hautes Études Scientifiques, Bures-sur-Yvette,
France.
1990-1991
Post-Doc fellow at the Institute for Theoretical Physics - UNESP, São Paulo.
Permanent Position
1991-1999
2000 - 2014
2014 -
Assistent Professor, Institute for Theoretical Physics-UNESP, São Paulo, BR
Associate Professor, Institute for Theoretical Physics-UNESP, São Paulo, BR
Full Professor, Institute for Theoretical Physics-UNESP, São Paulo, BR
Teaching
IFT-UNESP
Graduate Courses, Classical Mechanics, Nonlinear Dynamics, Hydrodynamics, Statistical Physics, Biomathematics, Electromagnetism, Nonlinear Waves, Mathematical
Physics, 1991-, Regular one-semester courses.
Université de
Lyon/ENS-Lyon
Short-Courses, Nonlinear Optics, Mathematical Methods in Biology, 2007 & 2009,
Ten hours each.
In French
Université de
Yaoundé
École CentraleMarseille
Jorge A. Swieca
School
IMPA-RJ
Semana da
Física-UFMA
IFT-UNESP
Short-Course, Mathematical Methods in Biology, 2009, Eight hours.
In French
Short-Courses, Extreme Waves, 2007 & 2008, Foor hours each.
In French
Short Course, Nonlinear Waves in Optics and BEC, 2007, Eight hours.
Maceió, Brazil
Short-Course, Nonlinear waves, 2005, Three weeks, 12 hours.
Short Course, Applied Nonlinear Dynamics, 2010, Two days, 8 hours.
Summer Courses, Mathematical Methods in Population Biology, 2008, 2009, 2010
& 2011, One week, hands-on modelling course.
60 hours each
IB-USP
Graduate Course, Population Ecololy, 2011-2104, three weeks.
54 hours each
IFT-UNESP
ICTP-SAIFR Summer Courses, Southern-Summer School on Mathematical Biology, 2012-2015, Two weeks, hands-on modelling course (week one) and advanced
course (week two, organizer).
60 hours
B [email protected]
2/13
Languages
Portuguese
English
French
German
Spanish
native
good level
fluent
good level
intermediate
vel
non-technical
le-
good comprehension
Student and Post-Doc Supervision
Completed
2012
Francisco Quevedo Camargo, Undergraduate Project, Mathematical-Biology.
now a PhD student at Oxford
1998
Claudio Fabiano Alves, M.Sc, Mathematical-Physics.
now in a private company
2003
Paulo Gustavo Serafim de Carvalho, M.Sc, Hydrodynamics.
proceeded to PhD studies
2008
Franciane Azevedo, M.Sc, Mathematical-Biology.
proceeded to PhD studies
2010
Renato Mendes Coutinho, M.Sc, Mathematical-Biology.
proceeded to PhD studies
2011
Gabriel Andreguetto Maciel, M.Sc, Mathematical-Biology.
proceeded to PhD studies
1993
Samuel M. Kurcbart, PhD, in collaboration with J.G. Pereira, Hydrodynamics.
now in UFSJ, São João Del Rey, MG, Brazil
2004
Marijana Brtka, PhD, Bose-Einstein Condensates.
now in UFABC, São Paulo, SP, Brazil
2007
Paulo Gustavo Serafim de Carvalho, PhD, Mathematical-Biology.
now in UFLSF, Petrolina, PE, Brazil
2008
Daniel Juliano Pamplona da Silva, PhD, Mathematical-Biology.
now in UFA, Poços de Caldas, MG
2013
Franciane Azevedo, PhD, Mathematical-Biology.
now a post-doc at USP
2013
Rethinavel Natarajan, PhD, Mathematical-Biology.
now at a position in India
2013
Juliana Militão da Silva Berbert, PhD, Mathematical-Biology.
now professor at UFABC
2015
Renato Mendes Coutinho, PhD, Mathematical-Biology.
now a post-doc at IFT-UNESP and Ecology Dept. USP
1995
Samuel M. Kurcbart, Post-doc.
now in UFSJ, São João Del Rey, MG, Brazil
B [email protected]
3/13
1995
Frederic Ginovart, Post-doc.
now in IUT-Lannion, France
1999
Alexandre Zenchuk, Post-doc.
now in IPCP, Chernogolovka , Russia
2000
Murugaian Senthilvelan, Post-doc.
now in Bharathidasan Univ., Tiruchirappalli, India
2004
Valery Shchesnovich, Post-Doc.
now in UFABC, São Paulo,SP, Brazil
2008
William Artiles Roqueta, Post-doc.
now at Math Dept., UFPE, Recife, PE, Brazil
2006
Samuel Noubissie, Post-doc,TWAS/CNPq scheme.
now in Univ. Dschang, Cameroon
2010
Anderson Augusto Ferreira, Post-doc.
now at Unifesp, São Paulo, Brazil
Ongoing
since 2011
since 2012
since2013
Gabriel Andreguetto Maciel, PhD.
Vitor Rios, PhD (in ecology).
Daniel Penalva, PhD.
Administrative Service
1.
2.
3.
4.
Library Coordinator, IFT-UNESP, 9/94-9/95.
Director of Graduate Studies, IFT-UNESP, 10/95 - 9/96 AND from 6/04 – present.
Research Coordinator, IFT-UNESP, 10/96 –8/99.
Deputy-director, Institute for Meteorological Research, UNESP, 2/98 - 9/99.
5.
Member of the Editorial Board, São Paulo State University Press, 1992–2001 and
from 2005 to 2009.
5.
Member of the Editorial Board, Scielo-Livros, 2011-present.
Other
Talks, not in
workshops
São Paulo, Montpellier, Porto, Stuttgart, Paris, Darmstadt, Surrey, Albuquerque,
Hanoi, Campinas, São Carlos, Maceió, Bogotá, Caracas, Rio de Janeiro, Lyon, Marseille, Tiruchirappalli, Chennai, Pondichery, Porto Alegre, Botucatu, Yaoundé, Natal,
Ribeirão Preto, São Luiz, Rio Claro, Curitiba, Guaratinguetá
Referee
Physics Letters A, Physical Review A, E and Letters, Proc. Royal Society A, Nonlinearity, Journ. Phys. A and B, Inverse Problems, Physica A and D, Journal of
Mathematical Physics, Nonlinearity, Communication in Nonlinear Science and Numerical Simulation, SIAM J. Applied Math, Wave Motion, ZAMP, Neotropical Entomology, ANZIAM Journal, Physica Scripta, Europhysics Letters, Journal of Theoretical
Biology, Theoretical Ecology, Mathematical Biosciences, Ecological Complexity Also
for the Science Funding Agency of the States of São Paulo and Minas Gerais, National Research Council of Brazil, National Science Foundation of Chile, Israel Science
Foundation and Austrian Science Foundation
B [email protected]
4/13
Editor
Journal of Mathematics.
Conferences & Workshops & Schools
Organization
2003
Workshop on Bose-Einstein Condensation, IFT, São Paulo, Brazil.
Convener
2004
Workshop on Nonlinear Waves, IFT, São Paulo, Brazil.
Convener
2005
Workshop on Modeling in Interdisciplinary Science, Hotel Perequê, Paraty, RJ,
Brazil.
Member of the Organizing Committee
2006
Waves in Fluids, IFT, São Paulo, SP, Brazil.
Convener
2007
II Brazilian Workshop on Theoretical and Computational Physics, IFT, São
Paulo, SP, Brazil.
Member of the Organizing Committee
2007
Joint Lyon-UNESP Workshop and School on Material Science, FC-UNESP,
Baurú, SP, Brazil.
Member of the Organizing Committee
2008
Waves in Fluids II, Hotel Perequê, Paraty, RJ, Brazil.
Member of the Organizing Committee
2010
Annual Meeting of the Society of Mathematical Biology, UNIRIO, Rio de Janeiro, RJ, Brazil.
Member of the Local Organizing Committee
2011
Waves in Fluids III, IMPA, Rio de Janeiro, RJ, Brazil.
Member of the Organizing Committee
2012-15
ICTP-SAIFR Summer Courses, "Souther-Summer School on MathematicalBiology, IFT-UNESP, ICTP-SAIFR, São Paulo, SP, Brazil.
Chair of Organizing Committee
Participation
1986
Quantum Mechanics of Fundamental Systems, Santiago de Chile, Chile.
1993
Nonlinear Evolution Equations and Dynamical Systems. NEEDS-93, Lecce,
Italy, Oral Communication.
1995
KdV’95, Amsterdam, Netherlands.
1997
VII International Workshop on Nonlinear Instabilities and Nonequilibrium
Structures, Santiago de Chile, Chile.
2000
NATO Advanced Workshop “Nonlinearity and Disorder”, Tashkent, Uzbekistan,
Oral Communication.
B [email protected]
5/13
2002
National Meeting on Condensed Matter Physics, Caxambú, MG, Brazil.
2003
Workshop on Bose-Einstein Condensates, São Paulo, SP, Brazil, Oral Communication.
2003
NATO Workshop on Nonlinear Waves, Estoril, Portugal, Oral Communication.
2003
Quantum Fluids and Solids, Albuquerque, NM, USA, Oral Communication.
2003
VIII Latin-Americam Workshop on Nonlinear Phenomena, Salvador, Brazil, Oral
Communication.
2003
National Meeting on Condensed Matter Physics, Caxambú, MG, Brazil.
2003
Computação de Alto Desempenho para Sistemas Complexos, São Carlos, SP,
Brazil, Oral Communication.
2004
Workshop on Nonlinear Waves, São Paulo, SP, Brazil, Oral Communication.
2004
SIAM Conference on Nonlinear Waves and Coherent Structures, Orlando, FL,
USA, Oral Communication.
2005
Workshop on Nonlinearity and Stochasticity in Three Continents, Santa Fe,
NM, USA, Invited Communication.
2005
Workshop on Modeling in Interdisciplinary Science, Paraty, RJ, Brazil, Oral Communication.
2005
Workshop on Biomathematics, Angra dos Reis,RJ, Brazil.
2005
Summer School on Environmental Modeling of Amazonia, Angra dos Reis, RJ,
Brazil.
2005
VII Workshop on Partial Differential Equations, Rio de Janeiro,RJ, Brazil, Oral
Presentation.
2005
National Meeting on Condensed Matter Physics, Santos,SP, Brazil.
2006
Waves in Fluids, São Paulo,SP, Brazil, Oral communication.
2006
SIAM Workshop on Nonlinear Waves and Coherent Structures, Seattle, WA,
USA, Oral Communication.
2007
School of Nonlinear and Quantum Optics (J.A. Swieca School), Maceió, AL,
Brazil, Invited Lecturer.
2007
VIII Workshop on Partial Differential Equations, Rio de Janeiro, RJ, Brazil, Oral
Communication.
2007
II Brazilian Workshop on Theoretical and Computational Physics, São Paulo,
SP, Brazil.
2007
X Latin-Americam Workshop on Nonlinear Phenomena, Arica, Chile, Oral Communication.
B [email protected]
6/13
2007
Joint Lyon-UNESP Workshop and School on Material Science, Baurú, SP,
Brazil, Lecturer.
2008
First Laccotam Conference on Theoretical and Applied Mechanics, Port-ofSpain, Trinidad and Tobago, Oral Communication.
2008
Scientific Computing Advanced Training Workshop, Rio de Janeiro, RJ, Brazil,
Oral Communication.
2008
European Geosciences General Meeting, Session on Extreme Sea Events, Vienna, Austria, Oral Communication.
2008
Waves in Fluids II, Paraty, RJ, Brazil, Oral Communication.
2009
CeSAFT Workshop on Theoretical Physics, São Paulo, SP, Brazil, Oral Communication.
2009
Low-Cost High Physics and Appropriate Solutions to Real Life Problems in
Developing Countries, Yaoundé, Cameroon, Invited Communication.
2009
Ecologia Evolutiva de Insetos, Piracicaba, SP, Brazil, Invited Communication.
2009
Workshop on Complex Systems, São Carlos, SP, Brazil, Oral Communication.
2010
Annual Meeting of the Society of Mathematical Biology, Rio de Janeiro, RJ,
Brazil, Oral Communication.
2010
Congresso Brasileiro de Entomologia, Natal,RN, Brazil, Oral Communication.
2011
SIAM Conference on Applied Dynamical Systems, Snowbird,UT, USA, Oral Communication.
2011
European Conference on Mathematical and Theoretical Biology - Annual Meeting of the Society of Mathematical Biology, Cracow, Poland, Oral Communication x 2.
2008
Waves in Fluids III, Rio de Janeiro, RJ, Brazil.
2011
Université européenne d’été de l’IHEST - Science, culture, éducation: des
sociétés guettées par l’illettrisme scientifique ?, Gréoux-les-Bains, France, Oral
Communication.
2011
II Conference on Low-Cost High Physics and Appropriate Solutions to Real Life
Problems in Developing Countries, Yaoundé, Cameroon, Invited Communication.
2012
X International Conference on Numerical Analysis and Applied Mathematics,
Kos, Greece, Oral Communication.
2013
Epidemics 4, Amsterdam, Netherlands.
2015
VI Workshop on Dynamical Systems Applied to Biology and Natural Sciences
, Lisbon, Portugal, Plenary Speaker.
B [email protected]
7/13
Metrics
Papers
Citations
h-index
As of March 2015.
84.
991.
16.
Publication List
[1]
F. Azevedo, R. M. Coutinho, and R. A. Kraenkel. Spatial dynamics of a population with stagedependent diffusion. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL
SIMULATION, 22(1-3):605–610, MAY 2015. ISSN 1007-5704.
[2]
Gabriel Andreguetto Maciel and Roberto Andre Kraenkel. How population loss through habitat
boundaries determines the dynamics of a predator-prey system. ECOLOGICAL COMPLEXITY,
20(SI):33–42, DEC 2014. ISSN 1476-945X.
[3]
M. A. Manna, P. Montalvo, and R. A. Kraenkel. Finite time blow-up and breaking of solitary
wind waves. PHYSICAL REVIEW E, 90(1), JUL 9 2014. ISSN 1539-3755.
[4]
R. A. Kraenkel, H. Leblond, and M. A. Manna. An integrable evolution equation for surface
waves in deep water. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 47
(2), JAN 17 2014. ISSN 1751-8113.
[5]
Carlos Roberto Fonseca, Renato M. Coutinho, Franciane Azevedo, Juliana M. Berbert, Gilberto
Corso, and Roberto A. Kraenkel. Modeling Habitat Split: Landscape and Life History Traits
Determine Amphibian Extinction Thresholds. PLOS ONE, 8(6), JUN 20 2013. ISSN 1932-6203.
[6]
R. A. Kraenkel, K. Manikandan, and M. Senthilvelan. On certain new exact solutions of a diffusive predator-prey system. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL
SIMULATION, 18(5):1269–1274, MAY 2013. ISSN 1007-5704.
[7]
Gabriel Zorello Laporta, Paulo Inacio Knegt Lopez de Prado, Roberto Andre Kraenkel, Renato Mendes Coutinho, and Maria Anice Mureb Sallum. Biodiversity Can Help Prevent Malaria
Outbreaks in Tropical Forests. PLOS NEGLECTED TROPICAL DISEASES, 7(3), MAR 2013.
ISSN 1935-2735.
[8]
P. Montalvo, R. Kraenkel, M. A. Manna, and C. Kharif. Wind-wave amplification mechanisms:
possible models for steep wave events in finite depth. NATURAL HAZARDS AND EARTH
SYSTEM SCIENCES, 13(11):2805–2813, 2013. ISSN 1561-8633.
[9]
F. Azevedo, R. A. Kraenkel, and D. J. Pamplona da Silva. Competitive release and area effects.
ECOLOGICAL COMPLEXITY, 11:154–159, SEP 2012. ISSN 1476-945X.
[10]
Renato Mendes Coutinho, Wesley Augusto Conde Godoy, and Roberto Andre Kraenkel. Integrodifference model for blowfly invasion. THEORETICAL ECOLOGY, 5(3):363–371, AUG
2012. ISSN 1874-1738.
[11]
A. Bhuvaneswari, R. A. Kraenkel, and M. Senthilvelan. Application of the lambda-symmetries
approach and time independent integral of the modified Emden equation.
NONLINEAR
ANALYSIS-REAL WORLD APPLICATIONS, 13(3):1102–1114, JUN 2012. ISSN 1468-1218.
[12]
D. J. Pamplona da Silva and R. A. Kraenkel. Population persistence in weakly-coupled sinks.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 391(1-2):142–146, JAN
1 2012. ISSN 0378-4371.
[13]
Rosangela P. Sanches, Claudia P. Ferreira, and Roberto A. Kraenkel. The Role of Immunity
and Seasonality in Cholera Epidemics. BULLETIN OF MATHEMATICAL BIOLOGY, 73(12):
2916–2931, DEC 2011. ISSN 0092-8240.
B [email protected]
8/13
[14]
A. Bhuvaneswari, R. A. Kraenkel, and M. Senthilvelan. Lie point symmetries and the timeindependent integral of the damped harmonic oscillator. PHYSICA SCRIPTA, 83(5), MAY
2011. ISSN 0031-8949.
[15]
R. A. Kraenkel and M. Senthilvelan. On the particular solutions of an integrable equation
governing short waves in a long-wave model. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 12(1):446–449, FEB 2011. ISSN 1468-1218.
[16]
Evaldo Araujo de Oliveira, Vicente Pereira de Barros, and Roberto Andre Kraenkel. Solving the
Levins’ paradox in the logistic model to the population growth. In Macau, EEN and Pereira, T
and Prado, AFBA and Turci, LFR and Winter, OC, editor, DYNAMIC DAYS SOUTH AMERICA
2010: INTERNATIONAL CONFERENCE ON CHAOS AND NONLINEAR DYNAMICS, volume
285 of Journal of Physics Conference Series, 2011. ISSN 1742-6588. International Conference
on Chaos and Nonlinear Dynamics - Dynamic Days South America, Natl Inst Space Res (INPE),
Sao Jose dos Campos, BRAZIL, JUL 26-30, 2010.
[17]
R. A. Kraenkel, K. Nakkeeran, and K. W. Chow. Integrable NLS equation with time-dependent
nonlinear coefficient and self-similar attractive BEC. COMMUNICATIONS IN NONLINEAR
SCIENCE AND NUMERICAL SIMULATION, 16(1):86–92, JAN 2011. ISSN 1007-5704.
[18]
C. Kharif, R. A. Kraenkel, M. A. Manna, and R. Thomas. The modulational instability in deep
water under the action of wind and dissipation. JOURNAL OF FLUID MECHANICS, 664:
138–149, DEC 2010. ISSN 0022-1120.
[19]
R. A. Kraenkel and D. J. Pamplona da Silva. Stochastic Skellam model. PHYSICA ASTATISTICAL MECHANICS AND ITS APPLICATIONS, 389(1):60–66, JAN 1 2010. ISSN
0378-4371.
[20]
R. A. Kraenkel and M. Senthilvelan. On the solutions of the position-dependent effective mass
Schrodinger equation of a nonlinear oscillator related with the isotonic oscillator. JOURNAL OF
PHYSICS A-MATHEMATICAL AND THEORETICAL, 42(41), OCT 16 2009. ISSN 1751-8113.
[21]
W. Artiles, R. A. Kraenkel, and M. A. Manna. Evolution equation for short surface waves on
water of finite depth. PHYSICA D-NONLINEAR PHENOMENA, 238(17):1821–1825, AUG 15
2009. ISSN 0167-2789.
[22]
D. Comissiong, R. A. Kraenkel, and M. A. Manna. Solitary waves on a free surface of a heated
Maxwell fluid. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL
AND ENGINEERING SCIENCES, 465(2101):109–121, JAN 8 2009. ISSN 1364-5021.
[23]
S. Noubissie, R. A. Kraenkel, and P. Woafo. Disturbance and repair of solitary waves in blood
vessels with aneurysm. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL
SIMULATION, 14(1):51–60, JAN 2009. ISSN 1007-5704.
[24]
W. Artiles, P. G. S. Carvalho, and R. A. Kraenkel. Patch-size and isolation effects in the
Fisher-Kolmogorov equation. JOURNAL OF MATHEMATICAL BIOLOGY, 57(4):521–535,
OCT 2008. ISSN 0303-6812.
[25]
R. A. Kraenkel, S. Noubissie, and P. Woafo. A mathematical model for wave propagation
in elastic tubes with inhomogeneities: Application to blood waves propagation. PHYSICA
D-NONLINEAR PHENOMENA, 236(2):131–140, DEC 15 2007. ISSN 0167-2789.
[26]
G. A. El, A. Gammal, E. G. Khamis, R. A. Kraenkel, and A. M. Kamchatnov. Theory of optical
dispersive shock waves in photorefractive media. PHYSICAL REVIEW A, 76(5), NOV 2007.
ISSN 1050-2947.
[27]
Josselin Garnier, Roberto A. Kraenkel, and Andre Nachbin. Optimal Boussinesq model for
shallow-water waves interacting with a microstructure. PHYSICAL REVIEW E, 76(4, 2), OCT
2007. ISSN 1539-3755.
[28]
Y. Matsuno, V. S. Shchesnovich, A. M. Kamchatnov, and R. A. Kraenkel. Whitham method
for the Benjamin-Ono-Burgers equation and dispersive shocks. PHYSICAL REVIEW E, 75(1,
2), JAN 2007. ISSN 1539-3755.
B [email protected]
9/13
[29]
William Artiles and Roberto A. Kraenkel. An exact equation for the free surface of a fluid in
a porous medium. SIAM JOURNAL ON APPLIED MATHEMATICS, 67(3):619–629, 2007.
ISSN 0036-1399.
[30]
RA Kraenkel, J Leon, and MA Manna. Theory of small aspect ratio waves in deep water.
PHYSICA D-NONLINEAR PHENOMENA, 211(3-4):377–390, NOV 15 2005. ISSN 0167-2789.
[31]
CH Borzi, RA Kraenkel, MA Manna, and A Pereira. Nonlinear dynamics of short traveling
capillary-gravity waves. PHYSICAL REVIEW E, 71(2, 2), FEB 2005. ISSN 1063-651X.
[32]
A. M. Kamchatnov, A. Gammal, and R. A. Kraenkel. SHOCK WAVES IN BOSE-EINSTEIN
CONDENSATES. In Abdullaev, FKH and Konotop, VV, editor, NONLINEAR WAVES: CLASSICAL AND QUANTUM ASPECTS, volume 153 of NATO Science Series II Mathematics Physics
and Chemistry, pages 285–290, 2005. ISBN 978-1-4020-2190-9. ISSN 1568-2609. Estoril
Workshop on Nonlinear Waves - Classical and Quantum Aspects, Estoril, PORTUGAL, JUL
13-17, 2003.
[33]
F. Kh. Abdullaev, E. N. Tsoy, B. A. Malomed, and R. A. Kraenkel. DYNAMICS OF DISCRETE
SOLITONS IN MEDIA WITH VARYING NONLINEARITY. In Abdullaev, FKH and Konotop,
VV, editor, NONLINEAR WAVES: CLASSICAL AND QUANTUM ASPECTS, volume 153 of
NATO Science Series II Mathematics Physics and Chemistry, pages 529–534, 2005. ISBN
978-1-4020-2190-9. ISSN 1568-2609. Estoril Workshop on Nonlinear Waves - Classical and
Quantum Aspects, Estoril, PORTUGAL, JUL 13-17, 2003.
[34]
FK Abdullaev, RM Galimzyanov, M Brtka, and RA Kraenkel. Resonances in a trapped 3D
Bose-Einstein condensate under periodically varying atomic scattering length. JOURNAL OF
PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 37(17):3535–3550, SEP 14
2004. ISSN 0953-4075.
[35]
FK Abdullaev, RA Kraenkel, and BA Umarov. Quantum coherent tunneling between two
atomic-molecular Bose-Einstein condensates. EUROPEAN PHYSICAL JOURNAL D, 30(3):
369–377, SEP 2004. ISSN 1434-6060.
[36]
VS Shchesnovich and RA Kraenkel. Vortices in nonlocal Gross-Pitaevskii equation. JOURNAL
OF PHYSICS A-MATHEMATICAL AND GENERAL, 37(26):6633–6651, JUL 2 2004. ISSN
0305-4470.
[37]
AM Kamchatnov, A Gammal, and RA Kraenkel. Dissipationless shock waves in Bose-Einstein
condensates with repulsive interaction between atoms. PHYSICAL REVIEW A, 69(6), JUN
2004. ISSN 1050-2947.
[38]
VS Shchesnovich, SB Cavalcanti, and RA Kraenkel. Solitons in tunnel-coupled repulsive and
attractive condensates. PHYSICAL REVIEW A, 69(3), MAR 2004. ISSN 1050-2947.
[39]
VS Shchesnovich, AM Kamchatnov, and RA Kraenkel. Mixed-isotope Bose-Einstein condensates
in rubidium. PHYSICAL REVIEW A, 69(3), MAR 2004. ISSN 1050-2947.
[40]
VS Shchesnovich, BA Malomed, and RA Kraenkel. Solitons in Bose-Einstein condensates
trapped in a double-well potential. PHYSICA D-NONLINEAR PHENOMENA, 188(3-4):213–
240, FEB 1 2004. ISSN 0167-2789.
[41]
FK Abdullaev, JG Caputo, RA Kraenkel, and BA Malomed. Bose-Einstein condensates in 2D
with time-periodic scattering length. JOURNAL OF LOW TEMPERATURE PHYSICS, 134
(1-2):671–676, JAN 2004. ISSN 0022-2291. 13th International Symposium on Quantum Fluids
and Solids, UNIV NEW MEXICO, ALBUQUERQUE, NEW MEXICO, AUG 03-08, 2003.
[42]
AM Kamchatnov, A Gammal, FK Abdullaev, and RA Kraenkel. Formation of soliton trains
in Bose-Einstein condensates as a nonlinear Fresnel diffraction of matter waves. PHYSICS
LETTERS A, 319(3-4):406–412, DEC 8 2003. ISSN 0375-9601.
[43]
FK Abdullaev, EN Tsoy, BA Malomed, and RA Kraenkel. Array of Bose-Einstein condensates
under time-periodic Feshbach-resonance management. PHYSICAL REVIEW A, 68(5), NOV
2003. ISSN 1050-2947.
B [email protected]
10/13
[44]
AM Kamchatnov, RA Kraenkel, and BA Umarov. Asymptotic soliton train solutions of KaupBoussinesq equations. WAVE MOTION, 38(4):355–365, OCT 2003. ISSN 0165-2125.
[45]
DP Caetano, SB Cavalcanti, JM Hickmann, AM Kamchatnov, RA Kraenkel, and EA Makarova.
Soliton propagation in a medium with Kerr nonlinearity and resonant impurities: A variational
approach. PHYSICAL REVIEW E, 67(4, 2), APR 2003. ISSN 1539-3755.
[46]
FK Abdullaev, JG Caputo, RA Kraenkel, and BA Malomed. Controlling collapse in BoseEinstein condensates by temporal modulation of the scattering length. PHYSICAL REVIEW A,
67(1), JAN 2003. ISSN 1050-2947.
[47]
SB Cavalcanti, AM Kamchatnov, RA Kraenkel, and BA Umarov. Periodic waves and solitons
in a nonlinear fibre with resonant impurities. JOURNAL OF MODERN OPTICS, 49(13):
2183–2193, NOV 2002. ISSN 0950-0340.
[48]
AM Kamchatnov, RA Kraenkel, and BA Umarov. Asymptotic soliton train solutions of the
defocusing nonlinear Schrodinger equation. PHYSICAL REVIEW E, 66(3, 2B), SEP 2002.
ISSN 1539-3755.
[49]
P Woafo and RA Kraenkel. Synchronization: Stability and duration time. PHYSICAL REVIEW
E, 65(3, 2A), MAR 2002. ISSN 1539-3755.
[50]
AM Kamchatnov and RA Kraenkel. On the relationship between a 2 x 2 matrix and second-order
scalar spectral problems for integrable equations. JOURNAL OF PHYSICS A-MATHEMATICAL
AND GENERAL, 35(2):L13–L18, JAN 18 2002. ISSN 0305-4470.
[51]
AM Kamchatnov, RA Kraenkel, and BA Umarov. On asymptotic solutions of integrable wave
equations. PHYSICS LETTERS A, 287(3-4):223–232, AUG 27 2001. ISSN 0375-9601.
[52]
SM Gama, RA Kraenkel, and MA Manna. Short-wave instabilities in the Benjamin-BonaMahoney-Peregrine equation: theory and numerics. INVERSE PROBLEMS, 17(4):863–870,
AUG 2001. ISSN 0266-5611. Conference RCP264: Inverse Problems and Nonlinearity, MONTPELLIER, FRANCE, JUN 20-24, 2000.
[53]
RA Kraenkel and M Senthilvelan. Mathematical models of generalized diffusion. PHYSICA
SCRIPTA, 63(5):353–356, MAY 2001. ISSN 0281-1847.
[54]
RA Kraenkel and AI Zenchuk. Modified Korteweg-de Vries hierarchy with hodograph transformation: Camassa-Holm and Harry-Dym hierarchies. MATHEMATICS AND COMPUTERS IN
SIMULATION, 55(4-6):483–491, MAR 15 2001. ISSN 0378-4754. International Conference on
Nonlinear Evolution Equations and Wave Phenomena, ATHENS, GEORGIA, APR 12-15, 1999.
[55]
RA Kraenkel and M Senthilvelan. Symmetry analysis of an integrable reaction-diffusion equation.
CHAOS SOLITONS & FRACTALS, 12(3):463–474, MAR 2001. ISSN 0960-0779.
[56]
RA Kraenkel, M Senthilvelan, and AI Zenchuk. Lie symmetry analysis and reductions of a
two-dimensional integrable generalization of the Camassa-Holm equation. PHYSICS LETTERS
A, 273(3):183–193, AUG 21 2000. ISSN 0375-9601.
[57]
FK Abdullaev and RA Kraenkel. Macroscopic quantum tunneling and resonances in coupled
Bose-Einstein condensates with oscillating atomic scattering length. PHYSICS LETTERS A,
272(5-6):395–401, AUG 7 2000. ISSN 0375-9601.
[58]
FK Abdullaev and RA Kraenkel. Coherent atomic oscillations and resonances between coupled
Bose-Einstein condensates with time-dependent trapping potential. PHYSICAL REVIEW A, 62
(2), AUG 2000. ISSN 1050-2947.
[59]
RA Kraenkel, M Senthilvelan, and AI Zenchuk. On the integrable perturbations of the CamassaHolm equation. JOURNAL OF MATHEMATICAL PHYSICS, 41(5):3160–3169, MAY 2000.
ISSN 0022-2488.
[60]
RA Kraenkel, MA Manna, and V Merle. Nonlinear short-wave propagation in ferrites. PHYSICAL REVIEW E, 61(1):976–979, JAN 2000. ISSN 1063-651X.
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[61]
MC Ferreira, RA Kraenkel, and AI Zenchuk. Soliton-cuspon interaction for the Camassa-Holm
equation. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 32(49):8665–8670,
DEC 10 1999. ISSN 0305-4470.
[62]
RA Kraenkel and A Zenchuk. Two-dimensional integrable generalization of the Camassa-Holm
equation. PHYSICS LETTERS A, 260(3-4):218–224, SEP 13 1999. ISSN 0375-9601.
[63]
RA Kraenkel, MA Manna, and V Merle. Long-wave and short-wave asymptotics in nonlinear
dispersive systems. PHYSICAL REVIEW E, 60(2, B):2418–2420, AUG 1999. ISSN 1063-651X.
[64]
RA Kraenkel and A Zenchuk. Camassa-Holm equation: transformation to deformed sinh-Gordon
equations, cuspon and soliton solutions. JOURNAL OF PHYSICS A-MATHEMATICAL AND
GENERAL, 32(25):4733–4747, JUN 25 1999. ISSN 0305-4470.
[65]
RA Kraenkel, JG Pereira, and ECD Neto. Linearizability of the perturbed Burgers equation.
PHYSICAL REVIEW E, 58(2, B):2526–2530, AUG 1998. ISSN 1063-651X.
[66]
RA Kraenkel. First-order perturbed Korteweg-de Vries solitons. PHYSICAL REVIEW E, 57(4):
4775–4777, APR 1998. ISSN 1063-651X.
[67]
RA Kraenkel, MA Manna, JC Montero, and JG Pereira. The role of the Korteweg-de Vries
hierarchy in the N-soliton dynamics of the shallow water wave equation. JOURNAL OF THE
PHYSICAL SOCIETY OF JAPAN, 66(5):1277–1281, MAY 1997. ISSN 0031-9015.
[68]
RA Kraenkel, MA Manna, V Merle, JC Montero, and JG Pereira. Multiple-time higher-order
perturbation analysis of the regularized long-wavelength equation. PHYSICAL REVIEW E, 54
(3):2976–2981, SEP 1996. ISSN 1063-651X.
[69]
RA KRAENKEL, MA MANNA, JC MONTERO, and JG PEREIRA. BOUSSINESQ SOLITARYWAVE AS A MULTIPLE-TIME SOLUTION OF THE KORTEWEG-DE VRIES HIERARCHY.
JOURNAL OF MATHEMATICAL PHYSICS, 36(12):6822–6828, DEC 1995. ISSN 0022-2488.
[70]
RA KRAENKEL, MA MANNA, and JG PEREIRA. MODULATIONAL INSTABILITY ANALYSIS
OF SURFACE-WAVES IN THE BENARD-MARANGONI PHENOMENON. PHYSICA D, 87
(1-4):356–360, OCT 15 1995. ISSN 0167-2789. Conference on the Nonlinear Schrodinger
Equation, LANDAU INST THEORET PHYS, CHERNOGOLOVKA, RUSSIA, JUL 25-AUG 03,
1994.
[71]
RA KRAENKEL, JG PEREIRA, and MA MANNA. THE REDUCTIVE PERTURBATION
METHOD AND THE KORTEWEG-DE VRIES HIERARCHY. ACTA APPLICANDAE MATHEMATICAE, 39(1-3):389–403, JUN 1995. ISSN 0167-8019. KdV 95 - International Symposium,
AMSTERDAM, NETHERLANDS, APR 23-26, 1995.
[72]
RA KRAENKEL, MA MANNA, and JG PEREIRA. THE KORTEWEG-DE VRIES HIERARCHY
AND LONG WATER-WAVES. JOURNAL OF MATHEMATICAL PHYSICS, 36(1):307–320,
JAN 1995. ISSN 0022-2488.
[73]
RA KRAENKEL, SM KURCBART, JG PEREIRA, and MA MANNA. BOUSSINESQ-TYPE
SYSTEM OF EQUATIONS IN THE BENARD-MARANGONI SYSTEM. THEORETICAL AND
MATHEMATICAL PHYSICS, 99(3):692–698, JUN 1994. ISSN 0040-5779.
[74]
RA KRAENKEL, SM KURCBART, JG PEREIRA, and MA MANNA. DISSIPATIVE BOUSSINESQ SYSTEM OF EQUATIONS IN THE BENARD-MARANGONI PHENOMENON. PHYSICAL REVIEW E, 49(2):1759–1762, FEB 1994. ISSN 1063-651X.
[75]
RA KRAENKEL, JC PEREIRA, and A MANNA. HYDROTHERMAL SURFACE-WAVE INSTABILITY AND THE KURAMOTO-SIVASHINSKY EQUATION. PHYSICS LETTERS A, 185(1):
88–92, JAN 31 1994. ISSN 0375-9601.
[76]
RA KRAENKEL, SM KURCBART, JG PEREIRA, and MA MANNA. DIFFUSIVE INSTABILITY
IN A BENARD SYSTEM AT THE CRITICAL POINT FOR THE ONSET OF CONVECTION. In
Spatschek, KH and Mertens, FG, editor, NONLINEAR COHERENT STRUCTURES IN PHYSICS AND BIOLOGY, volume 329 of NATO ADVANCED SCIENCE INSTITUTES SERIES,
SERIES B, PHYSICS, pages 393–396, 1994. ISBN 0-306-44803-3. ISSN 0258-1221. NATO
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Advanced Research Workshop on Nonlinear Coherent Structures in Physics and Biology, BAYREUTH, GERMANY, JUN 01-04, 1993.
[77]
RA KRAENKEL, SM KURCBART, JG PEREIRA, and MA MANNA. NONLINEAR DIFFUSION PROCESS IN A BENARD SYSTEM AT THE CRITICAL-POINT FOR THE ONSET OF
CONVECTION. PHYSICAL REVIEW E, 47(5):3303–3306, MAY 1993. ISSN 1063-651X.
[78]
RA KRAENKEL, JG PEREIRA, and MA MANNA. NONLINEAR SURFACE-WAVE EXCITATIONS IN THE BENARD-MARANGONI SYSTEM. PHYSICAL REVIEW A, 46(8):4786–4790,
OCT 15 1992. ISSN 1050-2947.
[79]
RA KRAENKEL, SM KURCBART, JG PEREIRA, and MA MANNA. EFFECTS OF A
TEMPERATURE-DEPENDENT VISCOSITY IN SURFACE NONLINEAR-WAVES PROPAGATING IN A SHALLOW FLUID HEATED FROM BELOW. PHYSICS LETTERS A, 169(4):
259–262, SEP 28 1992. ISSN 0375-9601.
[80]
RA KRAENKEL, JG PEREIRA, and MA MANNA. SURFACE SOLITARY WAVES IN A DOUBLE DIFFUSIVE SYSTEM. PHYSICA SCRIPTA, 45(4):289–291, APR 1992. ISSN 0281-1847.
[81]
RA KRAENKEL, JG PEREIRA, and MA MANNA. SURFACE PERTURBATIONS OF A
SHALLOW VISCOUS-FLUID HEATED FROM BELOW AND THE (2+1)-DIMENSIONAL
BURGERS-EQUATION. PHYSICAL REVIEW A, 45(2):838–841, JAN 15 1992. ISSN 10502947.
[82]
R ALDROVANDI and RA KRAENKEL. PERTURBATIVE COHERENCE IN FIELD-THEORY.
JOURNAL OF MATHEMATICAL PHYSICS, 30(8):1866–1870, AUG 1989. ISSN 0022-2488.
[83]
RA KRAENKEL. ANTI-BRS INVARIANCE AND LAGRANGIANITY IN CLASSICAL MECHANICS. EUROPHYSICS LETTERS, 6(5):381–384, JUL 1 1988. ISSN 0295-5075.
[84]
R ALDROVANDI and RA KRAENKEL. ON EXTERIOR VARIATIONAL CALCULUS. JOURNAL
OF PHYSICS A-MATHEMATICAL AND GENERAL, 21(6):1329–1339, MAR 21 1988. ISSN
0305-4470.
as taken from WebOfScience, March 2015.
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