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Nonlinear Dispersive Equations Inverse Scattering And Pde Methods 1st Ed 2021 Christian Klein

  • SKU: BELL-51206346
Nonlinear Dispersive Equations Inverse Scattering And Pde Methods 1st Ed 2021 Christian Klein
$ 31.00 $ 45.00 (-31%)

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Nonlinear Dispersive Equations Inverse Scattering And Pde Methods 1st Ed 2021 Christian Klein instant download after payment.

Publisher: Springer
File Extension: PDF
File size: 10.31 MB
Pages: 600
Author: Christian Klein, Jean-Claude Saut
ISBN: 9783030914264, 3030914267
Language: English
Year: 2022
Edition: 1st ed. 2021

Product desciption

Nonlinear Dispersive Equations Inverse Scattering And Pde Methods 1st Ed 2021 Christian Klein by Christian Klein, Jean-claude Saut 9783030914264, 3030914267 instant download after payment.

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.

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