Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics

Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics by W.I. Fushchich, W.M. Shtelen, N.I. Serov.

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....

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Bibliographic Details
Main Authors: Fushchich, W.I (Author), Shtelen, W.M (Author), Serov, N.I (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 1993.
Edition:1st ed. 1993.
Series:Mathematics and Its Applications ; 246
Springer eBook Collection.
Subjects:
Mathematical physics.
Integral equations.
Topological groups.
Lie groups.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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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