Title of article
Computation of µ-symmetry and µ-conservation law for the Camassa-Holm and Hunter-Saxton equations
Author/Authors
Shaban ، Somayeh Department of Mathematics - Islamic Azad University, Karaj branch , Nadjafikhah ، Mehdi Department of Pure Mathematics - School of Mathematics - Iran University of Science and Technology
From page
113
To page
122
Abstract
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 µconservation 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 µconservation laws for the CH equation and the HS equation.
Keywords
Symmetry , µ , Symmetry , Conservation law , µ , Conservation law , Variational problem , Order reduction
Journal title
AUT Journal of Mathematics and Computing
Journal title
AUT Journal of Mathematics and Computing
Record number
2757813
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