Conservation Laws of The Generalized Riemann Equations

Binfang Gao, Kai Tian, Q. P. Liu, Lujuan Feng
2018 Journal of Nonlinear Mathematical Physics  
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
more » ... in equation and Monge-Ampere equation.
doi:10.1080/14029251.2018.1440746 fatcat:2vu7jz3jkjhh7onvuqbawrz5le