Authors: Parastoo Kabi-Nejad, Mehdi Nadjafikhah
Affiliation: Department of Mathematics, Iran University of Science and Technology, Tehran, Iran
Email: [email protected]
Journal: International Journal of Fundamental Physical Sciences (IJFPS)
Volume: 9, Issue: 2, Pages: 20-25, Date: June, 2019
ISSN: 2231-8186
DOI: https://doi.org/10.14331/ijfps.2019.330125
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 the infinitesimal symmetry criterion. In addition, one-dimensional optimal system of Lie subalgebras is investigated using the adjoint representation. Furthermore, determining equations for multipliers and the 2-dimensional homotopy formula are employed to construct higher-order conservation laws for the Camassa–Holm equation.
Camassa–Holm equation, Generalized Symmetry, Optimal system, Conservation