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DOI: 10.23671/VNC.2012.14.11014

Symmetrical polynomials and conservation laws

Shabat A. B.
Vladikavkaz Mathematical Journal 2012. Vol. 14. Issue 4.
Abstract:
Vector fields with symmetrical polynomials as the first integrals are considered. The connection of these dynamical systems with the theory of multi-phase solutions of the solitonic models of mathematical physics is established.
Keywords: Liouville therem, symmetric polynomials, Riemann invariants, solitonic equations
Language: Russian Download the full text  
For citation: Shabat A. B. Symmetrical polynomials and conservation laws. Vladikavkazskij matematicheskij zhurnal [Vladikavkaz Math. J.], 2012, vol. 14, no. 4, pp. 83-94. † DOI 10.23671/VNC.2012.14.11014


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