_1605833801
1605833801
Fundamental Journals
info@fundamentaljournals.org
Fundamental Journals
International Journal of Fundamental Physical Science
IJFPS
2231-8186
11
15
2020
9
2
symmetries and higher-order Conservation laws of the Camassa–Holm equation
Mathematics-Physics
Parastoo
Kabi-Nejad
Mehdi
Nadjafikhah
In the present paper, we derive generalized symmetries of order three of the Camassa–Holm equation by infinite prolongation of a generalized vector field and applying infinitesimal symmetry criterion. In addition, one-dimensional optimal system of Lie subalgebras investigated by applying the adjoint representation. Furthermore, determining equation for multipliers and the 2-dimensional homotopy formula employed to construct higher–order conservation laws for the Camassa–Holm equation.
06
30
2019
20
25
https://creativecommons.org/licenses/by/4.0
10.14331/ijfps.2019.330125
https://www.fundamentaljournals.org/index.php/ijfps/article/view/26
-
https://www.fundamentaljournals.org/index.php/ijfps/article/download/26/40
-
https://www.fundamentaljournals.org/index.php/ijfps/article/download/26/40