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Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics - W.I. Fushchich; W.M. Shtelen; N.I. Serov
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Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics (Mathematics and Its Applications) - libro usado

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Fushchich, W. I.; Serov, N. I.; Shtelen, W. M.:
Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics - encuadernado, tapa blanda

1993, ISBN: 0792321464

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W.I. Fushchich; W.M. Shtelen; N.I. Serov:
Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics - encuadernado, tapa blanda

1993, ISBN: 9780792321460

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Detalles del libro
Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics

This volume presents an account of the current state of algebraic-theoretic methods as applied to linear and nonlinear multidimensional equations of mathematical and theoretical physics. Equations are considered that are invariant under Euclid, Galilei, Schrödinger, Poincaré, conformal, and some other Lie groups, with special emphasis being given to the construction of wide classes of exact solutions of concrete nonlinear partial differential equations, such as d'Alembert, Liouville, Monge-Ampère, Hamilton-Jacobi, eikonal, Schrödinger, Navier-Stokes, gas dynamics, Dirac, Maxwell-Dirac, Yang-Mills, etc. Ansätze for spinor, as well as scalar and vector fields are described and formulae for generating solutions via conformal transformations are found explicitly for scalar, spinor, vector, and tensor fields with arbitrary conformal degree. The classical three-body problem is considered for the group-theoretic point of view. The symmetry of integro-differential equations is also studied, and the method of finding final nonlocal transformations is described. Furthermore, the concept of conditional symmetry is introduced and is used to obtain new non-Lie Ansätze for nonlinear heat and acoustic equations. The volume comprises an Introduction, which presents a brief account of the main ideas, followed by five chapters, appendices, and a comprehensive bibliography. This book will be of interest to researchers, and graduate students in physics and mathematics interested in algebraic-theoretic methods in mathematical and theoretical physics.

Detalles del libro - Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics


EAN (ISBN-13): 9780792321460
ISBN (ISBN-10): 0792321464
Tapa dura
Año de publicación: 1993
Editorial: Springer
468 Páginas
Peso: 0,859 kg
Idioma: eng/Englisch

Libro en la base de datos desde 2007-11-01T04:01:55-06:00 (Mexico City)
Página de detalles modificada por última vez el 2021-12-29T15:36:30-06:00 (Mexico City)
ISBN/EAN: 0792321464

ISBN - escritura alterna:
0-7923-2146-4, 978-0-7923-2146-0
Mode alterno de escritura y términos de búsqueda relacionados:
Autor del libro: serov, shtele
Título del libro: nonlinear equations physics mathematics, symmetry, nonlinear analysis applications, mathematical analysis, ukraine, exact solutions, solution equations


Datos del la editorial

Autor: W.I. Fushchich; W.M. Shtelen; N.I. Serov
Título: Mathematics and Its Applications; Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics
Editorial: Springer; Springer Netherland
435 Páginas
Año de publicación: 1993-02-28
Dordrecht; NL
Peso: 1,830 kg
Idioma: Inglés
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
POD
XXIV, 435 p.

BB; Theoretical, Mathematical and Computational Physics; Hardcover, Softcover / Physik, Astronomie/Allgemeines, Lexika; Mathematische Physik; Verstehen; Theoretical physics; algebra; calculus; differential equation; mathematical physics; operator; partial differential equation; transformation; Integral Equations; Topological Groups, Lie Groups; Theoretical, Mathematical and Computational Physics; Integral Equations; Topological Groups and Lie Groups; Integralrechnung und -gleichungen; Gruppen und Gruppentheorie; BC; EA

Preface. Preface to the English Edition. Introduction. 1. Poincaré Invariant Nonlinear Scalar Equations. 2. Poincaré-Invariant Systems of Nonlinear PDEs. 3. Euclid and Galilei Groups and Nonlinear PDEs for Scalar Fields. 4. System of PDEs Invariant Under the Galilei Group. 5. Some Special Questions. Appendix 1: Jacobi Elliptic Functions. Appendix 2: P(1,3)-Nonequivalent One-Dimensional Subalgebras of the Extended Poincaré Algebra AP(1,3). Appendix 3: Some Applications of Campbell-Baker-Hausdorff Operator Calculus. Appendix 4: Differential Invariants (DI) of Poincaré Algebras (AP(1,n), AP(1,n) and Conformal Algebra AC(1,n). Appendix 5: Differential Invariants (DI) of Galilei Algebras AG(1,n), AG(1,n) and Schrödinger Algebra ASch(1,n). Appendix 6: Compatibility and Solutions of the Overdetermined d'Alembert-Hamilton-System. Appendix 7: Q-Conditional Symmetry of the Heat Equation. Appendix 8: On Nonlocal Symmetries of Nonlinear Heat Equation. References. Additional References. Index.

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