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arXiv · 1609.07825

Conservation laws of the generalized Riemann equations at $N=2,3,4$

Binfang Gao·Kai Tain·Q. P. Liu·Lujuan Feng
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Abstract

In this paper, we present infinitely many conserved densities satisfying particular conservation law $F_{t}=(2uF)_{x}$ for the generalized Riemann equations at $N=2,3,4$. In the $N=2$ 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.

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BibTeXRIS

Binfang Gao, Kai Tain, Q. P. Liu, Lujuan Feng. 2016-09-26. Conservation laws of the generalized Riemann equations at $N=2,3,4$. https://doi.org/10.1080/14029251.2018.1440746

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