This article is cited in 3 scientific papers (total in 3 papers)
Symmetrical polynomials and conservation laws
A. B. Shabatab
a Landau Institute for Theoretical Physics, Russian Academy of Sciences, Russia, Chernogolovka
b Karachay-Cherkess State University, Russia, Karachaevsk
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.
Liouville therem, symmetric polynomials, Riemann invariants, solitonic equations.
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A. B. Shabat, “Symmetrical polynomials and conservation laws”, Vladikavkaz. Mat. Zh., 14:4 (2012), 83–94
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\paper Symmetrical polynomials and conservation laws
\jour Vladikavkaz. Mat. Zh.
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Morozov O.I., Sergyeyev A., “The Four-Dimensional Martinez Alonso-Shabat Equation: Reductions and Nonlocal Symmetries”, J. Geom. Phys., 85 (2014), 40–45
F. Calogero, “Zeros of entire functions and related systems of infinitely many nonlinearly coupled evolution equations”, Theoret. and Math. Phys., 196:2 (2018), 1111–1128
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