Nonlinear Dispersive Equations : Inverse Scattering and PDE Methods

Name: Nonlinear Dispersive Equations
Brand: Springer Nature Switzerland AG
SKU: 9783030914264
Price: 23400 KES
Availability: OutOfStock
ISBN: 9783030914264

2021 ed.

by Christian Klein , Jean-Claude Saut

Book Details

Format Hardback

Book Series Applied Mathematical Sciences

ISBN-10 3030914267

ISBN-13 9783030914264

Edition 2021 ed.

Publisher Springer Nature Switzerland AG

Imprint Springer Nature Switzerland AG

Country of Manufacture GB

Country of Publication GB

Publication Date Feb 24th, 2022

Print length 580 Pages

Product Classification: Differential calculus & equations Differential calculus and equations Numerical analysis Mathematical / Computational / Theoretical physics Mathematical physics

KSh 23,400.00

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Nonlinear Dispersive Equations are 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 completely integrable 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 and non-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.

Get Nonlinear Dispersive Equations by Christian Klein, Jean-Claude Saut at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by Springer Nature Switzerland AG and it has 580 pages.