Open AccessLie symmetry and μ-symmetry methods for nonlinear generalized Camassa–Holm equation
Author(s) -
Hossein Jafari,
Kh. Goodarzi,
Maryam Khorshidi,
Vahid Parvaneh,
Zakia Hammouch
Publication year - 2021
Publication title -
advances in difference equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.67
H-Index - 51
eISSN - 1687-1847
pISSN - 1687-1839
DOI - 10.1186/s13662-021-03471-0
Subject(s) - conservation law , symmetry (geometry) , partial differential equation , mathematics , nonlinear system , ordinary differential equation , camassa–holm equation , mathematical physics , mathematical analysis , order (exchange) , differential equation , physics , integrable system , quantum mechanics , geometry , finance , economics
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.