This article is cited in 4 scientific papers (total in 4 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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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
A. E. Artisevich, A. B. Shabat, “Tri teoremy o matritsakh Vandermonda”, Vladikavk. matem. zhurn., 22:1 (2020), 5–12
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