TY - JOUR AU - Kabi-Nejad, Parastoo AU - Nadjafikhah, Mehdi PY - 2019/06/30 Y2 - 2024/03/29 TI - Generalized symmetries and higher-order Conservation laws of the Camassa–Holm equation: Mathematics-Physics JF - International Journal of Fundamental Physical Sciences JA - Int. J. Fundam. Phys. Sci VL - 9 IS - 2 SE - DO - 10.14331/ijfps.2019.330125 UR - https://fundamentaljournals.org/index.php/ijfps/article/view/26 SP - 20-25 AB - <p style="text-align: justify;">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.</p> ER -