Lie Symmetries, Conservation Laws and Exact Solutions for Jaulent-Miodek Equations

Symmetry

Jian-Ting Pei¹  Yu-Shan Bai¹ 

[1] Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010000, China;

关键词: jaulent-miodek equations;    lie symmetries;    optimal systems;    conservation laws;    exact solutions;   

DOI  :  10.3390/sym11101319

来源: DOAJ

【 摘 要 】

In this paper, the Lie symmetries of the Jaulent-Miodek (JM) equations are calculated and one dimensional optimal systems of Lie algebra are obtained. Furthermore, the conservation laws are constructed by using the adjoint equation method. Finally, the exact solutions of the equations are obtained by the conservation laws.

【 授权许可】

Unknown