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Symmetrical polynomials and conservation laws
Shabat A. B.
Vladikavkaz Mathematical Journal 2012. Vol. 14. Issue 4.
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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