University of Tabriz Computational Methods for Differential Equations 2345-3982 8 2 2020 04 01 Symmetry analysis and conservation laws for higher order CamassaHolm equation 364 372 9964 10.22034/cmde.2020.26920.1356 EN Vahid Shirvani Department of Mathematics, Eslamabad-E-Gharb Branch, Islamic Azad University, Eslamabad-E-Gharb, Iran. Mehdi Nadjafikhah Department of Pure Mathematics, School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846-13114, Iran. Journal Article 2018 04 28 In this paper, Lie symmetry group method is applied to study for the higher order Camassa-Holm equation. Complete analysis of symmetries and nonclassical symmetries is discussed. Furthermore, optimal system, preliminary classification of its group invariant solutions and symmetry reduction are investigated. Finally conservation laws for the higher order Camassa-Holm equation which conserved quantities arise from multipliers by using homotopy operator are presented. https://cmde.tabrizu.ac.ir/article_9964_8e115941ca19dca89584db280c36be97.pdf