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Nonlinear Dispersive Equations: Inverse Scattering and PDE Methods

254,08 
254,08 
2025-07-31 254.0800 InStock
Nemokamas pristatymas į paštomatus per 18-22 darbo dienų užsakymams nuo 19,00 

Knygos aprašymas

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 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.

Informacija

Autorius: Jean-Claude Saut, Christian Klein,
Serija: Applied Mathematical Sciences
Leidėjas: Springer Nature Switzerland
Išleidimo metai: 2022
Knygos puslapių skaičius: 600
ISBN-10: 3030914267
ISBN-13: 9783030914264
Formatas: Knyga kietu viršeliu
Kalba: Anglų
Žanras: Differential calculus and equations

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