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World Scientific Publishing Company Nonlinear Waves: An Introduction - Mathematical Physics

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Description

Nonlinear Waves: An Introduction by World Scientific Publishing Company explores fundamental equations of mathematical physics including the KdV equation, Camassa-Holm type equations, modifications of Burger's equation, and the Hunter-Saxton equation. This book presents these equations through rigorous mathematical methods suitable for university-level study, moving beyond their physical origins to focus on pure mathematical investigation. The authors develop classification theorems for traveling wave solutions across a broad class of third-order nonlinear partial differential equations, with particular attention to how corresponding profiles develop various types of singularities. The text bridges physics and advanced mathematics, making it an essential resource for students and researchers studying nonlinear phenomena and differential equations.

Key Features

Nonlinear Waves covers the KdV equation and its various modifications, providing comprehensive treatment of this fundamental nonlinear partial differential equation.

The book examines Camassa-Holm type equations and their properties, essential for understanding solitary wave behaviour in mathematical physics.

Multiple modifications of Burger's equation are analysed within the text, demonstrating different approaches to nonlinear wave phenomena.

Hunter-Saxton equation analysis is included to extend understanding of third-order nonlinear partial differential equations and their solutions.

Classification theorems for traveling wave solutions are developed for a large class of third-order nonlinear PDEs with singular profiles.

The book emphasises purely mathematical methods and rigorous proofs, making it suitable for advanced undergraduate and graduate mathematics courses.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
23 September 2010
Listed Since
03 July 2013

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