Parastoo Kabi-NejadMehdi Nadjafikhah Department of Mathematics, Iran University of Science and Technology, Tehran, Iran parastoo_kabinejad@alumni.iust.ac.ir International Journal of Fundamental Physical Sciences (IJFPS) 9 2 20-25 June, 2019 2231-8186 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 https://creativecommons.org/licenses/by-nc/4.0/