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KdV ’95

Edited by Michiel Hazewinkel, Hans W. Capel and Eduard M. de Jager

in Springer Books from Springer

Date: 1995
ISBN: 978-94-011-0017-5
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Chapters in this book:

Integrability, Computation and Applications
M. J. Ablowitz, S. Chakravarty and B. M. Herbst
Applications of KdV
D. G. Crighton
Instructive History of the Quantum Inverse Scattering Method
L. Faddeev
Optical Solitons in Communications: From Integrability To Controllability
Akira Hasegawa
Korteweg, de Vries, and Dutch Science at the Turn of the Century
A. J. Kox
Algebraic—Geometrical Methods in the Theory of Integrable Equations and Their Perturbations
I. Krichever
An ODE to a PDE: Glories of the KdV Equation. An Appreciation of the Equation on Its 100th Birthday!
Martin D. Kruskal
The Discrete Korteweg—de Vries Equation
Frank Nijhoff and Hans Capel
Coherent Structure Visiometrics:From the Soliton to HEC
Norman J. Zabusky
The KPI Equation with Unconstrained Initial Data
M. Boiti, F. Pempinelli and A. Pogrebkov
Solitons and the Korteweg—de Vries Equation: Integrable Systems in 1834–1995
R. K. Bullough and P. J. Caudrey
Integrable Nonlinear Evolution Equations and Dynamical Systems in Multidimensions
Francesco Calogero
Symmetry Reductions and Exact Solutions of Shallow Water Wave Equations
Petter A. Clarkson and Elizabeth L. Mansfield
A KdV Equation in 2 + 1 Dimensions: Painlevé Analysis, Solutions and Similarity Reductions
P. G. Estévez and S. B. Leble
The Korteweg—de Vries Equation and Beyond
A. S. Fokas
On the Background of Limit Pass for Korteweg—de Vries Equation as the Dispersion Vanishes
V. A. Galkin and V. V. Russkikh
On New Trace Formulae for Schrödinger Operators
F. Gesztesy and H. Holden
KdV Equations and Integrability Detectors
B. Grammaticos, V. Papageorgiou and A. Ramani
Generalized Self-Dual Yang—Mills Flows, Explicit Solutions and Reductions
Chaohao Gu
Symbolic Software for Soliton Theory
W. Hereman and W. Zhuang
Solitons of Curvature
B. G. Konopelchenko
The Reductive Perturbation Method and the Korteweg—de Vries Hierarchy
R. A. Kraenkel, J. G. Pereira and M. A. Manna
Darboux Transformations for Higher-Rank Kadomtsev—Petviashvili and Krichever—Novikov Equations
Geoff A. Latham and Emma Previato
Moment Problem of Hamburger, Hierarchies of Integrable Systems, and the Positivity of Tau-Functions
Yoshimasa Nakamura and Yuji Kodama
New Features of Soliton Dynamics in 2 + 1 Dimensions
F. Pempinelli
Cnoidal Wave Trains and Solitary Waves in a Dissipation-Modified Korteweg—de Vries Equation
A. Ye. Rednikov, M. G. Velarde, Yu. S. Ryazantsev, A. A. Nepomnyashchy and V. N. Kurdyumov
Recent Results on the Generalized Kadomtsev—Petviashvili Equations
Jean-Claude Saut
An Explicit Expression for the Korteweg—de Vries Hierarchy
Rainer Schimming
Evolving Solitons in Bubbly Flows
Leen Van Wijngaarden

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DOI: 10.1007/978-94-011-0017-5

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