Lie symmetry analysis and conservation laws for the (2+1)-dimensional Mikhalev equation

Electronic Journal of Differential Equations

article

Xinyue Li¹  Yongli Zhang²  Huiqun Zhang²  Qiulan Zhao¹ 

[1] College of Mathematics and Systems Science Shandong University of Science and Technology Qingdao 266590;Department of Mathematics and Statistics Qingdao University Qingdao

关键词: (2+1)-dimensional Mikhalev equation;    Lie symmetry analysis;    similarity reduction;    conservation law;    exact solution.;   

DOI  :  10.58997/ejde.2021.41

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

Lie symmetry analysis is applied to the (2+1)-dimensional Mikhal\"ev equation,which can be reduced to several (1+1)-dimensional partial differential equations withconstant coefficients or variable coefficients. Then we construct exact explicit solutionsfor part of the above (1+1)-dimensional partial differential equations. Finally,the conservation laws for the (2+1)-dimensional Mikhal\"ev equation are constructedby means of Ibragimov's method.

【 授权许可】

CC BY