Symmetry reductions and exact solutions of the (2 + 1)-dimensional Camassa–Holm Kadomtsev–Petviashvili equation

Pramana

Wang Zhen-Li¹  Liu Qiang1¹ 

[1] School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, Shandong, China$$

关键词: Lie group method;    g-CH–KP equation;    symmetry reduction;    conservation laws;    exact solutions.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, the classical Lie group method is employed to obtain exact travelling wave solutions of the generalized Camassa–Holm Kadomtsev–Petviashvili (g-CH–KP) equation. We give the conservation laws of the g-CH–KP equation. Using the symmetries, we find six classical similarity reductions of g-CH–KP equation. Many types of exact solutions of the g-CH–KP equation are derived by solving the reduced equations.

【 授权许可】

Unknown