| Dewey Class |
530.1 |
| Title |
Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics ([EBook]) / by W. I. Fushchich, W. M. Shtelen, N. I. Serov. |
| Author |
Fushchich, Vilgelm Ilich |
| Added Personal Name |
Shtelen, W. M. (Vladimir Mikhaĭlovich) |
| Serov, Nikolaj Ivanovich author. |
| Other name(s) |
SpringerLink (Online service) |
| Publication |
Dordrecht : Springer Netherlands , 1993. |
| Physical Details |
XXIV, 435 pages : online resource. |
| Series |
Mathematics and its applications ; 246 |
| ISBN |
9789401731980 |
| Summary Note |
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.: |
| Contents note |
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. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/978-94-017-3198-0 |
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