Conservation laws of the generalized Riemann equations at $N=2,3,4$
Exactly Solvable and Integrable Systems
2018-02-22 v1 Mathematical Physics
math.MP
Abstract
In this paper, we present infinitely many conserved densities satisfying particular conservation law for the generalized Riemann equations at . In the case, we also construct conserved densities corresponding to new conservation laws containing an arbitrary smooth function. In virtue of reductions and/or changes of variables, related conserved densities are obtained for two component Hunter-Saxton equation, Hunter-Saxton equation, Gurevich-Zybin equation and Monge-Ampere equation.
Keywords
Cite
@article{arxiv.1609.07825,
title = {Conservation laws of the generalized Riemann equations at $N=2,3,4$},
author = {Binfang Gao and Kai Tain and Q. P. Liu and Lujuan Feng},
journal= {arXiv preprint arXiv:1609.07825},
year = {2018}
}
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14 pages