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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 - hardcover

ISBN: 9780792321460

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… More...

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

Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics (Mathematics and Its Applications) - used book

ISBN: 9780792321460

Springer. Used - Good. Slight water damage. Ships from UK in 48 hours or less (usually same day). Your purchase helps support the African Children's Educational Trust (A-CET). Ex-li… More...

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Symmetry Analysis and Exact Solutions of Equat - Fushchich, W
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Fushchich, W:
Symmetry Analysis and Exact Solutions of Equat - hardcover

ISBN: 9780792321460

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

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

1993, ISBN: 0792321464

1993 Gebundene Ausgabe Gruppen und Gruppentheorie, Mathematische Physik, Theoreticalphysics; Algebra; calculus; differentialequation; mathematicalphysics; operator; partialdifferentiale… More...

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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 - hardcover

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
Author:
Title:
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.

Details of the book - Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics


EAN (ISBN-13): 9780792321460
ISBN (ISBN-10): 0792321464
Hardcover
Publishing year: 1993
Publisher: Springer
468 Pages
Weight: 0,859 kg
Language: eng/Englisch

Book in our database since 2007-11-01T06:01:55-04:00 (New York)
Detail page last modified on 2021-12-29T16:36:30-05:00 (New York)
ISBN/EAN: 0792321464

ISBN - alternate spelling:
0-7923-2146-4, 978-0-7923-2146-0
Alternate spelling and related search-keywords:
Book author: serov, shtele
Book title: nonlinear equations physics mathematics, symmetry, nonlinear analysis applications, mathematical analysis, ukraine, exact solutions, solution equations

Information from Publisher

Author: W.I. Fushchich; W.M. Shtelen; N.I. Serov
Title: Mathematics and Its Applications; Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics
Publisher: Springer; Springer Netherland
435 Pages
Publishing year: 1993-02-28
Dordrecht; NL
Language: English
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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