Nonlinear Symmetries and Nonlinear Equations (Hardcover)

This text serves as an introduction to the use of nonlinear symmetries in studying, simplifying and solving nonlinear equations. Part One 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 Two 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. A list of references dealing with nonlinear symmetries completes the volume. This volume should be of interest to researchers in mathematics and mathematical physics.

General

Imprint:	Kluwer Academic Publishers
Country of origin:	United States
Series:	Mathematics and its Applications, v. 299
Release date:	September 1994
First published:	September 1994
Authors:	Giuseppe Gaeta
Dimensions:	230mm (L)
Format:	Hardcover
Pages:	280
ISBN-13:	978-0-7923-3048-6
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
LSN:	0-7923-3048-X
Barcode:	9780792330486

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