Nonlinear Symmetries and Nonlinear Equations by Giuseppe Gaeta
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.-
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Approximation Theory in the Central Limit Theorem
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Soliton Phenomenology
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Operator Approach to Linear Control Systems
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Limit Theorems on Large Deviations for Markov Stochastic Processes
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Global Bifurcation Theory and Hilbert's Sixteenth Problem
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Theory of Differential Equations with Unbounded Delay
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Asymptotic Distribution of Eigenvalues of Differential Operators
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Integral Transformations, Operational Calculus, and Generalized Functions
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Nonlinear Integral Equations in Abstract Spaces
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Problems and Methods of Optimal Control
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Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces
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Geometry of Principal Sheaves
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Theory of Complex Homogeneous Bounded Domains
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Fractional Programming
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Frequency Methods in Oscillation Theory
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Control of Quantum-Mechanical Processes and Systems
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Supermanifolds and Supergroups
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Giuseppe Gaeta is currently Professor of Mathematical Physics at the Universitü¾Œ†”¼ degli Studi di Milano, Milan, Italy. Professor Gaeta studied Physics in Rome and subsequently held research or teaching positions in CRM, Montreal (Canada); IHES, Bures-sur-Yvette (France); ü¾Ž–Œ¼cole Polytechnique, Palaiseau (France); Rijksuniversiteit, Utrecht (the Netherlands); Universidad Carlos III and Universidad Complutense, Madrid (Spain); and Loughborough University (UK). He is the author of about 140 scientific research papers and two research monographs (one in collaboration with G. Cicogna). His main scientific interests are the roles of Symmetry in physical theories and in nonlinear dynamics.
Miguel A. Rodrü¾™†”¼guez is full professor in the Department of Theoretical Physics of Universidad Complutense of Madrid, Spain. His teaching is mainly related to courses on Mathematics applied to Physics. He has been visiting professor at Universitü¾Ž–”¼ de Montrü¾Ž–”¼al (Canada), University of California at Los Angeles (USA), and Universitü¾Œ†”¼ di Roma Tre (Italy). His research field includes several areas of Mathematical Physics; in particular, Integrable Systems, Group Theory, and Difference Equations. In recent years he has collaborated with research groups in Spain, Canada, and Italy on spin chains and their statistical and thermodynamic properties, invariant schemes for difference equations, and hyperhamiltonian dynamics.
| SKU | Unavailable |
| ISBN 13 | 9780792330486 |
| ISBN 10 | 079233048X |
| Title | Nonlinear Symmetries and Nonlinear Equations |
| Author | Giuseppe Gaeta |
| Series | Mathematics And Its Applications |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Kluwer Academic Publishers |
| Year published | 1994-09-30 |
| Number of pages | 280 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |