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.
Shaban, S., & Nadjafikhah, M. (2022). Computation of µ-symmetry and µ-conservation law for the Camassa-Holm and Hunter-Saxton equations. AUT Journal of Mathematics and Computing, (), -. doi: 10.22060/ajmc.2022.21712.1102
MLA
Somayeh Shaban; Mehdi Nadjafikhah. "Computation of µ-symmetry and µ-conservation law for the Camassa-Holm and Hunter-Saxton equations". AUT Journal of Mathematics and Computing, , , 2022, -. doi: 10.22060/ajmc.2022.21712.1102
HARVARD
Shaban, S., Nadjafikhah, M. (2022). 'Computation of µ-symmetry and µ-conservation law for the Camassa-Holm and Hunter-Saxton equations', AUT Journal of Mathematics and Computing, (), pp. -. doi: 10.22060/ajmc.2022.21712.1102
VANCOUVER
Shaban, S., Nadjafikhah, M. Computation of µ-symmetry and µ-conservation law for the Camassa-Holm and Hunter-Saxton equations. AUT Journal of Mathematics and Computing, 2022; (): -. doi: 10.22060/ajmc.2022.21712.1102