Nonlinear Symmetries and Nonlinear Equations

Nonlinear Symmetries and Nonlinear Equations

by G. Gaeta
     
 

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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,

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Overview

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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Product Details

ISBN-13:
9789401044431
Publisher:
Springer Netherlands
Publication date:
12/31/2013
Series:
Mathematics and Its Applications (closed) Series, #299
Edition description:
Softcover reprint of the original 1st ed. 1994
Pages:
258
Product dimensions:
6.14(w) x 9.21(h) x 0.60(d)

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