Nonlinear Dispersive Equations : Inverse Scattering and PDE Methods

Language: English

Published by Springer, 2022

3030914267 / 9783030914264

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Druck auf Anfrage Neuware - Printed after ordering - Nonlinear Dispersive Equationsare partial differential equations that naturally arise in physical settings where dispersion dominates dissipation, notably hydrodynamics, nonlinear optics, plasma physics and Bose-Einstein condensates. The topic has traditionally been approached in different ways, from the perspective of modeling of physical phenomena, to that of the theory of partial differential equations, or as part of the theory of integrable systems.This monograph offers a thorough introduction to the topic, uniting the modeling, PDE and integrable systems approaches for the first time in book form. The presentation focuses on three 'universal' families of physically relevant equations endowed with a completelyintegrable member: the Benjamin-Ono, Davey-Stewartson, and Kadomtsev-Petviashvili equations. These asymptotic models are rigorously derived and qualitative properties such as soliton resolution are studied in detail in both integrable andnon-integrable models. Numerical simulations are presented throughout to illustrate interesting phenomena.By presenting and comparing results from different fields, the book aims to stimulate scientific interactions and attract new students and researchers to the topic. To facilitate this, the chapters can be read largely independently of each other and the prerequisites have been limited to introductory courses in PDE theory.

Seller Inventory # 9783030914264

Title
Nonlinear Dispersive Equations : Inverse Scattering and PDE Methods
Author
Christian Klein
Publisher
Springer
Publication year
2022
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3030914267
ISBN 13
9783030914264
Item weight
1,057 grams
Dimensions
241x160x38 mm

AHA-BUCH GmbH

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