Symmetrical polynomials and conservation laws
Vladikavkazskij matematičeskij žurnal, Tome 14 (2012) no. 4, pp. 83-94

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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.
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     author = {A. B. Shabat},
     title = {Symmetrical polynomials and conservation laws},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
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A. B. Shabat. Symmetrical polynomials and conservation laws. Vladikavkazskij matematičeskij žurnal, Tome 14 (2012) no. 4, pp. 83-94. http://geodesic.mathdoc.fr/item/VMJ_2012_14_4_a10/