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Cambridge University Press Cambridge Nonlinear Dispersive Waves - Asymptotic Analysis

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Description

Explore the evolution of nonlinear dispersive waves through this specialized academic text from Cambridge University Press. Since the foundational work of Stokes, Boussinesq, and Korteweg-de Vries in the nineteenth century, the field has seen massive growth. This volume focuses on the effective asymptotic methods developed since the 1960s to derive nonlinear wave equations. This book provides a detailed look at the equations governing physical phenomena that admit special solutions, such as solitons. It is designed to help readers master the underlying approximation techniques and methods used to find solutions for these complex equations. By covering core concepts like wave dispersion and asymptotic analysis, this text serves as a technical resource for those studying mathematical modelling and wave physics.

Key Features

Covers the development of nonlinear wave equations from nineteenth-century foundations to modern research.

Provides detailed methods for deriving equations like the KdV equation used in physical phenomena.

Explains the mathematical techniques required to find solutions for solitons and other special solutions.

Includes essential concepts such as wave dispersion and asymptotic analysis for mathematical modelling.

Part of the Cambridge Texts in Applied Mathematics series for academic consistency and depth.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
08 September 2011
Listed Since
21 February 2011

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