an:05830836
Zbl 1202.65130
Shi, Yuren; Xu, Xinjian; Wu, Zhixi; Wang, Yinghai; Yang, Hongjuan; Duan, Wenshan; L??, Kepu
Application of the homotopy analysis method to solving nonlinear evolution equations
ZH
Acta Phys. Sin. 55, No. 4, 1555-1560 (2006).
00271787
2006
j
65M70 35Q53
homotopy analysis method; modified Zakharov-Kuznetsov equation; periodic solution
Summary: We obtain a class of approximate periodic solutions for the \((2+1)\)-dimensional modified Zakharov-Kuznetsov equation by using the homotopy analysis method (HAM). The solutions we obtained agree with the exact solutions. The results indicate that the HAM is still valid for solving a class of higher dimensional evolution equations. We also made some efforts to extend the HAM to find the analytic solutions for more nonlinear evolution equations in an easier way.