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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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W.I. Fushchich; W.M. Shtelen; N.I. Serov:

Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics - edition reliée, livre de poche

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Fushchich, W. I.; Serov, N. I.; Shtelen, W. M.:
Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics - edition reliée, livre de poche

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 - edition reliée, livre de poche

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Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics
Auteur:
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ISBN:

9780792321460


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.

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EAN (ISBN-13): 9780792321460
ISBN (ISBN-10): 0792321464
Version reliée
Date de parution: 1993
Editeur: Springer
468 Pages
Poids: 0,859 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2007-11-01T11:01:55+01:00 (Paris)
Page de détail modifiée en dernier sur 2021-12-29T22:36:30+01:00 (Paris)
ISBN/EAN: 9780792321460

ISBN - Autres types d'écriture:
0-7923-2146-4, 978-0-7923-2146-0
Autres types d'écriture et termes associés:
Auteur du livre: serov, shtele
Titre du livre: nonlinear equations physics mathematics, symmetry, nonlinear analysis applications, mathematical analysis, ukraine, exact solutions, solution equations

Données de l'éditeur

Auteur: W.I. Fushchich; W.M. Shtelen; N.I. Serov
Titre: Mathematics and Its Applications; Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics
Editeur: Springer; Springer Netherland
435 Pages
Date de parution: 1993-02-28
Dordrecht; NL
Langue: Anglais
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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