%0 Journal Article
%T Application of the homotopy analysis method to solving nonlinear evolution equations<br>同伦分析法在求解非线性演化方程中的应用
%A Shi Yu-Ren
%A Xu Xin-Jian
%A Wu Zhi-Xi
%A Wang Ying-Hai
%A Yang Hong-Juan
%A Duan Wen-Shan
%A <br>石玉仁
%A 许新建
%A 吴枝喜
%A 汪映海
%A 杨红娟
%A 段文山
%A 吕克璞
%J 物理学报
%D 2006
%I 
%X 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.
%K homotopy analysis method
%K modified Zakharov-Kuznetsov equation
%K periodic solution<br>同伦分析法
%K 改进的
%K Zakharov-Kuznetsov方程
%K 周期解
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=7ECBFAFF217C432B&yid=37904DC365DD7266&vid=E514EE58E0E50ECF&iid=E158A972A605785F&sid=43797DD45B2BF7AC&eid=0E6C9B38667ABC5C&journal_id=1000-3290&journal_name=物理学报&referenced_num=5&reference_num=20