Nonlinear dispersive equations

✍ Scribed by Jaime Angulo Pava

Publisher: American Mathematical Society
Year: 2009
Tongue: English
Leaves: 272
Series: Mathematical Surveys and Monographs 156
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This book provides a self-contained presentation of classical and new methods for studying wave phenomena that are related to the existence and stability of solitary and periodic travelling wave solutions for nonlinear dispersive evolution equations. Simplicity, concrete examples, and applications are emphasized throughout in order to make the material easily accessible. The list of classical nonlinear dispersive equations studied includes Korteweg-de Vries, Benjamin-Ono, and Schrodinger equations. Many special Jacobian elliptic functions play a role in these examples. The author brings the reader to the forefront of knowledge about some aspects of the theory and motivates future developments in this fascinating and rapidly growing field. The book can be used as an instructive study guide as well as a reference by students and mature scientists interested in nonlinear wave phenomena

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