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by spin or (spin s = 1/2) field equations is emphasized because their solutions can be used for constructing solutions of other field equations insofar as fields with any spin may be cons… Meer...

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Erscheinungsdatum: 28.02.1993, Medium: Buch, Einband: Gebunden, Titel: Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics, Auflage: 1993, Autor: Fushchic… Meer...

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Fushchich, W. I.; Serov, N. I.; Shtelen, W. M.:
Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics - gebonden uitgave, pocketboek

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 - gebonden uitgave, pocketboek

1993, ISBN: 9780792321460

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

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Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics
auteur:
Titel:
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.

Gedetalleerde informatie over het boek. - Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics


EAN (ISBN-13): 9780792321460
ISBN (ISBN-10): 0792321464
Gebonden uitgave
Verschijningsjaar: 1993
Uitgever: Springer
468 Bladzijden
Gewicht: 0,859 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2007-11-01T11:01:55+01:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2021-12-29T22:36:30+01:00 (Amsterdam)
ISBN/EAN: 9780792321460

ISBN - alternatieve schrijfwijzen:
0-7923-2146-4, 978-0-7923-2146-0
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: serov, shtele
Titel van het boek: nonlinear equations physics mathematics, symmetry, nonlinear analysis applications, mathematical analysis, ukraine, exact solutions, solution equations

Gegevens van de uitgever

Auteur: W.I. Fushchich; W.M. Shtelen; N.I. Serov
Titel: Mathematics and Its Applications; Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics
Uitgeverij: Springer; Springer Netherland
435 Bladzijden
Verschijningsjaar: 1993-02-28
Dordrecht; NL
Taal: Engels
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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