Nonlinear Symmetries and Nonlinear Equations
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.
1000991799
Nonlinear Symmetries and Nonlinear Equations
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
280Nonlinear Symmetries and Nonlinear Equations
280
218.0
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Product Details
ISBN-13: | 9780792330486 |
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Publisher: | Springer-Verlag New York, LLC |
Publication date: | 09/30/1994 |
Series: | Mathematics and Its Applications Series , #29 |
Pages: | 280 |
Product dimensions: | 6.14(w) x 9.21(h) x 0.69(d) |
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