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＜電子ブック＞
Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics / by W.I. Fushchich, W.M. Shtelen, N.I. Serov
(Mathematics and Its Applications ; 246)

版	1st ed. 1993.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	1993
本文言語	英語
大きさ	XXIV, 435 p : online resource
著者標目	*Fushchich, W.I author Shtelen, W.M author Serov, N.I author SpringerLink (Online service)
件　名	LCSH:Mathematical physics LCSH:Integral equations LCSH:Topological groups LCSH:Lie groups FREE:Theoretical, Mathematical and Computational Physics FREE:Integral Equations FREE:Topological Groups and Lie Groups
一般注記	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 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 constructed from spin s = 1/2 fields. A brief account of the main ideas of the book is presented in the Introduction. The book is largely based on the authors' works [55-109, 176-189, 13-16, 7*-14*,23*, 24*] carried out in the Institute of Mathematics, Academy of Sciences of the Ukraine. References to other sources is not intended to imply completeness. As a rule, only those works used directly are cited. The authors wish to express their gratitude to Academician Yu.A. Mitropoi­ sky, and to Academician of Academy of Sciences of the Ukraine O.S. Parasyuk, for basic support and stimulation over the course of many years; to our cowork­ ers in the Department of Applied Studies, LA. Egorchenko, R.Z. Zhdanov, A.G. Nikitin, LV. Revenko, V.L Lagno, and I.M. Tsifra for assistance with the manuscript HTTP:URL=https://doi.org/10.1007/978-94-017-3198-0

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