Kdv '95 - by Michiel Hazewinkel & Hans W Capel & Eduard M De Jager (Hardcover)

Book Synopsis

Preface; E.M. de Jager. Part I: Invited Plenary Lectures. Integrability, Computation and Applications; M.J. Ablowitz, S. Chakravarty, 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; A. 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 PDE: Glories of the KdV Equation. An Appreciation of the Equation on its 100th Birthday! M.D. Kruskal. The Discrete Korteweg-de Vries Equation; F. Nijhoff, H. Capel. Coherent Structure Visiometrics: From the Soliton to HEC; N.J. Zabusky. Part II: Invited Contributions. The KPI Equation with Unconstrained Initial Data; M. Boiti, F. Pempinelli, A. Pogrebkov. Solitons and the Korteweg-de Vries Equation: Integrable Systems in 1834-1995; R.K. Bullough, P.J. Caudrey. Integrable Nonlinear Evolution Equations and Dynamical Systems in Multidimensions; F. Calgero. Symmetry Reductions and Exact Solutions of Shallow Water Wave Equations; P.A. Clarkson, E.L. Mansfield. A KdV Equation in 2+1 dimensions: Painlevé Analysis, Solutions and Similarity Reductions; P.G. Estévez, 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, V.V. Russkikh. On New Trace Formulae for Schrödinger Operators; F. Gesztesy, H. Holden. KdV Equations and Integrability Detectors; B. Grammaticos, V. Papageorgiou, A. Ramani. Generalized Self-Dual Yang-Mills Flows, ExplicitSolutions and Reductions; C.-H. Gu. Symbolic Software for Soliton Theory; W. Hereman, W. Zhuang. Solitons of Curvature; B.G. Konopelchenko. The Reductive Perturbation Method and the Korteweg&endash;de Vries Hierarchy; R.A. Kraenkel, J.G. Pereira, M.A. Manna. Darboux Transformations for Higher-Rank Kadomtsev&endash;Petviashvili and Krichever&endash;Novikov Equations; G.A. Latham, E. Previato. Moment Problem of Hamburger, Hierarchies of Integrable Systems, and the Positivity of Tau-Functions; Y. Nakamura, Y. Kodama. New Features of Soliton Dynamics in 2+1 Dimensions; F. Pempinelli. Cnoidal Wave Trains and Solitary Waves in a Dissipation-Modified Korteweg&endash;de Vries Equation; A.Ye. Rednikov, M.G. Velarde, Yu.S. Ryazantsev, A.A. Nepomnyashchy, V.N. Kurdyumov. Recent Results on the Generalized Kadomtsev&endash;Petviashvili Equations; J.-C. Saut. An Explicit Expression for the Korteweg&endash;de Vries Hierarchy; R. Schimming. Evolving Solitons in Bubbly Flows; L. van Wijngaarden.