Nonlinear Symmetries and Nonlinear Equations

By: Giuseppe Gaeta

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Hardcover | 1 September 1994

At a Glance

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284 Pages

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23.0 x 17.78 x 1.91

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This book serves as an introduction to the use of nonlinear symmetries in studying, simplifying and solving nonlinear equations. Part I provides a self-contained introduction to the theory. This emphasizes an intuitive understanding of jet spaces and the geometry of differential equations, and a special treatment of evolution problems and dynamical systems, including original results. In Part II the theory is applied to equivariant dynamics, to bifurcation theory and to gauge symmetries, reporting recent results by the author. In particular, the fundamental results of equivariant bifurcation theory are extended to the case of nonlinear symmetries. The final part of the book gives an overview of new developments, including a number of applications, mainly in the physical sciences. An extensive and up-to-date list of references dealing with nonlinear symmetries completes the volume. This volume will be of interest to researchers in mathematics and mathematical physics.

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You Can Find This Book In

Non-Fiction Science Physics Mathematical Physics Mathematics Calculus & Mathematical Analysis Differential Calculus & Equations

List of abbreviations
Foreword
Introduction
Geometric setting
Symmetries and their use
Examples
Evolution equations
Variational problems
Bifurcation problems
Gauge theories
Reduction and equivariant branching lemma
Further developments
Equations of Physics
References and bibliography
Subject Index
Table of Contents provided by Blackwell. All Rights Reserved.

Nonlinear Symmetries and Nonlinear Equations

At a Glance

Hardcover

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How to return your order

Defective items

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