Nonlinear Symmetries and Nonlinear Equations
by Giuseppe Gaeta
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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Nonlinear Symmetries and Nonlinear Equations
1994, Springer Netherlands
electronic resource /
in English
9401044430 9789401044431
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| March 28, 2025 | Edited by ImportBot | Redacting ocaids |
| September 29, 2024 | Edited by MARC Bot | import existing book |
| October 8, 2021 | Edited by ImportBot | import existing book |
| October 10, 2020 | Edited by ImportBot | import existing book |
| July 5, 2019 | Created by MARC Bot | Imported from Internet Archive item record |