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Symmetry Analysis and Exact Solutions of Equat - copertina rigida, flessible

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Fushchich, W. I.; Serov, N. I.; Shtelen, W. M.:
Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics - copertina rigida, flessible

1993, ISBN: 0792321464

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Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics - copertina rigida, flessible

1993, ISBN: 9780792321460

Buch, Hardcover, 1993 ed. [PU: Springer], Springer, 1993

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Dettagli del libro
Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics
Autore:
Titolo:
ISBN:

0792321464


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.

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


EAN (ISBN-13): 9780792321460
ISBN (ISBN-10): 0792321464
Copertina rigida
Anno di pubblicazione: 1993
Editore: Springer
468 Pagine
Peso: 0,859 kg
Lingua: eng/Englisch

Libro nella banca dati dal 2007-11-01T11:01:55+01:00 (Zurich)
Pagina di dettaglio ultima modifica in 2021-12-29T22:36:30+01:00 (Zurich)
ISBN/EAN: 0792321464

ISBN - Stili di scrittura alternativi:
0-7923-2146-4, 978-0-7923-2146-0
Stili di scrittura alternativi e concetti di ricerca simili:
Autore del libro : serov, shtele
Titolo del libro: nonlinear equations physics mathematics, symmetry, nonlinear analysis applications, mathematical analysis, ukraine, exact solutions, solution equations

Dati dell'editore

Autore: W.I. Fushchich; W.M. Shtelen; N.I. Serov
Titolo: Mathematics and Its Applications; Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics
Editore: Springer; Springer Netherland
435 Pagine
Anno di pubblicazione: 1993-02-28
Dordrecht; NL
Lingua: Inglese
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
Available
XXIV, 435 p.

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

1. Poincare Invariant Nonlinear Scalar Equations.- 2. Poincare-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 3. Some applications of Campbell-Baker-Hausdorff operator calculus.- Appendix 6. Compatibility and solutions of the overdetermined d’Alembert-Hamiltonsystem.- Appendix 8. On nonlocal symmetries of nonlinear heat equation.- References.- Additional References.
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