Lie symmetry and μ -symmetry methods for nonlinear generalized Camassa–Holm equation

Advances in Difference Equations

article

Jafari, H.¹  Goodarzi, K.⁴  Khorshidi, M.⁵  Parvaneh, V.⁶  Hammouch, Z.⁷ 

[1] Department of Applied Mathematics, University of Mazandaran;Department of Mathematical Sciences, University of South Africa;Department of Medical Research, China Medical University Hospital, China Medical University;Department of Mathematics, Borujerd Branch, Islamic Azad University;Department of Mathematics, Firouzabad Institute of Higher Education;Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University;Division of Applied Mathematics, Thu Dau Mot University;Département des Sciences, Moulay Ismail University Meknes

关键词: Symmetry;    μ -symmetry;    Conservation law;    μ -conservation law;    Variational problem;    Order reduction;   

DOI  :  10.1186/s13662-021-03471-0

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, a Lie symmetry method is used for the nonlinear generalized Camassa–Holm equation and as a result reduction of the order and computing the conservation laws are presented. Furthermore, μ-symmetry and μ-conservation laws of the generalized Camassa–Holm equation are obtained.

【 授权许可】

CC BY