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Potential Symmetries and Equivalent Conservation Laws

In: Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics

Author

Listed:
  • George Bluman

    (University of British Columbia, Department of Mathematics)

Abstract

If one equation of a given system of PDEs is a conservation law, the system can be embedded in an auxiliary system. A point symmetry of an auxiliary system yields a nonlocal symmetry of the given system if it does not project onto a point symmetry. A conservation law of a given system of PDEs is an equivalent conservation law if the replacement of a PDE by the conservation law yields a system of PDEs with the same complex solution set as the given system. The problem of finding equivalent conservation laws is considered.

Suggested Citation

  • George Bluman, 1993. "Potential Symmetries and Equivalent Conservation Laws," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 71-84, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-2050-0_7
    DOI: 10.1007/978-94-011-2050-0_7
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