Non polynomial conservation law densities generated by the symmetry operators in some hydrodynamical models
Exactly Solvable and Integrable Systems
2014-10-03 v1
Abstract
New extra series of conserved densities for the polytropic gas model and nonlinear elasticity equation are obtained without any references to the recursion operator or to the Lax operator formalism. Our method based on the utilization of the symmetry operators and allows us to obtain the densities of arbitrary homogenuity dimensions. The nonpolynomial densities with logarithmics behaviour are presented as an example. The special attention is paid for the singular case for which we found new non homogenious solutions expressed in terms of the elementary functions.
Keywords
Cite
@article{arxiv.nlin/0303067,
title = {Non polynomial conservation law densities generated by the symmetry operators in some hydrodynamical models},
author = {Maxim V. Pavlov and Ziemowit Popowicz},
journal= {arXiv preprint arXiv:nlin/0303067},
year = {2014}
}
Comments
11 pages, 1 figure