Document Zbl 1326.37039

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Shabat, A. B.

Symmetric polynomials and conservation laws. (Russian. English summary) Zbl 1326.37039

Vladikavkaz. Mat. Zh. 14, No. 4, 83-94 (2012).

Summary: 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.

Cited in 5 Documents

MSC:

37J15	Symmetries, invariants, invariant manifolds, momentum maps, reduction (MSC2010)
35C08	Soliton solutions
35Q51	Soliton equations

Keywords:

Liouville theorem; symmetric polynomials; Riemann invariants; solitonic equations

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