Symmetrical polynomials and conservation laws

Shabat A. B.
Vladikavkaz Mathematical Journal 2012. Vol. 14. Issue 4.

Abstract:
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

The sole copyright holder of the published work is the Founder of the Vladikavkaz Mathematical Journal. The terms of use of this work are governed by an open license (Creative Commons Attribution-NonCommercial 4.0 International). The use of metadata of the scientific article, including the title, abstract, author information, references, identifiers, and other bibliographic description elements for subsequent unrestricted use, is carried out under the terms of the CC BY or CC0 open licenses.