Nonlinear Dispersive Equations: Inverse Scattering and PDE Methods

Author:   Christian Klein ,  Jean-Claude Saut
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
Volume:   209
ISBN:  

9783030914295


Pages:   580
Publication Date:   25 February 2023
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Nonlinear Dispersive Equations: Inverse Scattering and PDE Methods


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Author:   Christian Klein ,  Jean-Claude Saut
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
Volume:   209
Weight:   0.908kg
ISBN:  

9783030914295


ISBN 10:   3030914291
Pages:   580
Publication Date:   25 February 2023
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Acronyms.- Glossary.- 1 General Introduction.- 2 Generalities and Basic Facts.- 3 Benjamin–Ono and Intermediate Long Wave Equations: Modeling, IST and PDE.- 4 Davey–Stewartson and Related Systems.- 5 Kadomtsev–Petviashvili and Related Equations.- 6 Novikov–Veselov and Derivative Nonlinear Schrödinger Equations.- Index.

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Author Information

Christian Klein is Professor of mathematical physics at the Université de Bourgogne in Dijon, France, and a senior member of the Institut Universitaire de France. He works on nonlinear dispersive PDEs, numerical approaches, integrable systems, applied algebraic geometry and general relativity. His main interest is the numerical study of zones of rapid oscillations in the solutions to nonlinear dispersive equations, so-called dispersive shock waves, and a loss of regularity, a so-called blow-up of the solutions.Jean-Claude Saut is Emeritus Professor in the Laboratoire de Mathématiques of the Université Paris-Saclay. He works on the analysis of nonlinear dispersive equations and on their rigorous derivation as asymptotic models of general systems. His recent works concern a general class of Boussinesq systems, the analysis of weakly dispersive perturbations of the Burgers equation, and higher order models in the modulation regime of water waves.

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