TY - JOUR ID - 9964 TI - Symmetry analysis and conservation laws for higher order CamassaHolm equation JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Shirvani, Vahid AU - Nadjafikhah, Mehdi AD - Department of Mathematics, Eslamabad-E-Gharb Branch, Islamic Azad University, Eslamabad-E-Gharb, Iran. AD - Department of Pure Mathematics, School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846-13114, Iran. Y1 - 2020 PY - 2020 VL - 8 IS - 2 SP - 364 EP - 372 KW - Lie symmetry KW - Higher order Camassa-Holm equation KW - Optimal system KW - Similarity solutions KW - Conservation laws DO - 10.22034/cmde.2020.26920.1356 N2 - 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. UR - https://cmde.tabrizu.ac.ir/article_9964.html L1 - https://cmde.tabrizu.ac.ir/article_9964_8e115941ca19dca89584db280c36be97.pdf ER -