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

Hossein Jafari | Zendy; Kh. Goodarzi | Zendy; Maryam Khorshidi | Zendy; Vahid Parvaneh | Zendy; Zakia Hammouch | Zendy

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Lie 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.

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