Conservation Laws of The Generalized Riemann Equations
نویسندگان
چکیده
In this paper, we present infinitely many conserved densities satisfying particular conservation law $F_{t}=(2uF)_{x}$ for the generalized Riemann equations at $N=2,3,4$. $N=2$ case, also construct corresponding to new laws containing an arbitrary smooth function. virtue of reductions and/or changes variables, related are obtained two component Hunter-Saxton equation, Gurevich-Zybin equation and Monge-Ampere equation.
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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2021
ISSN: ['1776-0852', '1402-9251']
DOI: https://doi.org/10.1080/14029251.2018.1440746