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Cambridge University Press Cambridge Nonlinear Dispersive Waves - Asymptotic Analysis Book

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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, the field has expanded significantly. This volume focuses on the effective asymptotic methods developed since the 1960s to derive nonlinear wave equations, such as the KdV equation. This book is designed for researchers and students interested in the physical phenomena that produce special solutions, most notably solitons. It provides a detailed look at the approximation techniques and mathematical methods used to find solutions to these complex equations. By covering core concepts like wave dispersion and asymptotic analysis, this text serves as a comprehensive resource for understanding the mathematical modeling of wave behavior.

Key Features

Covers essential asymptotic methods for deriving nonlinear wave equations like the KdV equation.

Provides detailed descriptions of approximation techniques used to find mathematical solutions.

Explores the physics behind solitons and other special solutions in nonlinear wave theory.

Includes foundational concepts such as wave dispersion and asymptotic analysis.

Part of the Cambridge Texts in Applied Mathematics series (Number 47) for academic rigor.

Traces the development of the field from 19th-century work to modern research methods.

Product Specifications

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

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