Nonlinear symmetries and nonlinear equations
By: by Giuseppe Gaeta.
Series: Mathematics and its applications ;; v. 299; Mathematics and its applications (Kluwer Academic Publishers) ;; v. 299.
Publisher: Kluwer Academic Publishers
Published: 1994
Place of publication: Dordrecht; Boston
Language: eng
Number of pages: 258
Subjects: Differential equations, Nonlinear.; Symmetry.; Nonlinear theories.; Mathematical physics.
Description: 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.
Notes: Includes bibliographical references (p. [223]-252) and index.