Open AccessApplication of the homotopy analysis method to solving nonlinear evolution equations
Author(s) -
Shi Yu-Ren,
Xin-Jian Xu,
Zhi-Xi Wu,
Ying-Hai Wang,
Yang Hong-Juan,
Wen-Shan Duan,
Lü Ke-Pu
Publication year - 2006
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.55.1555
Subject(s) - homotopy analysis method , nonlinear system , class (philosophy) , homotopy perturbation method , mathematics , homotopy , evolution equation , mathematical analysis , computer science , physics , pure mathematics , quantum mechanics , artificial intelligence
We obtained 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 got 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 analytical solutions for more nonlinear evolution equations in an easier way.