%0 Journal Article
%T Computation of µ-symmetry and µ-conservation law for the Camassa-Holm and Hunter-Saxton equations
%J AUT Journal of Mathematics and Computing
%I Amirkabir University of Technology
%Z 2783-2449
%A Shaban, Somayeh
%A Nadjafikhah, Mehdi
%D 2023
%\ 03/01/2023
%V 4
%N 2
%P 113-122
%! Computation of µ-symmetry and µ-conservation law for the Camassa-Holm and Hunter-Saxton equations
%K µ-Symmetry
%K conservation law
%K µ-Conservation law
%K variational problem
%K order reduction
%R 10.22060/ajmc.2022.21712.1102
%X This work is intended to compute the µ-symmetry and µ-conservation laws for the Cammasa-Holm (CH) equation and the Hunter-Saxton (HS) equation. In other words, µ-symmetry, µ-symmetry reduction, variational problem, and µ-conservation laws for the CH equation and the HS equation are provided. Since the CH equation and the HS equation are of odd order, they do not admit a variational problem. First we obtain µ-conservation laws for both of them in potential form because they admit a variational problem and then using them, we obtain µ-conservation laws for the CH equation and the HS equation.
%U https://ajmc.aut.ac.ir/article_4946_c7fa83c2ce9641b773db7a37eaf12ae9.pdf