%0 Journal Article
%T New expansion algorithm of three Riccati equations and its applications in nonlinear mathematical physics equations<br>三Riccati 方程的新展开法及其在非线性数学物理方程中的应用
%A Zhi Hong-Yan
%A Zhao Xue-Qin
%A Zhang Hong-Qing
%A <br>智红燕
%A 赵雪芹
%A 张鸿庆
%J 中国物理 B
%D 2005
%I 
%X Based on the study of tanh function method and the coupled projective Riccati equation method, we propose a new algorithm to search for explicit exact solutions of nonlinear evolution equations. We use the higher-order Schr\"{o}dinger equation and mKdV equation to illustrate this algorithm. As a result, more new solutions are obtained, which include new solitary solutions, periodic solutions, and singular solutions.Some new solutions are illustrated in figures.
%K symbolic computation
%K solitary wave solution
%K periodic solution
%K higher-order Schr\"{o}dinger
%K equation
%K mKdV equation<br>符号计算
%K 孤立波解
%K 周期解
%K 高阶
%K schrodinger
%K 方程
%K mKdV
%K 方程
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=31C653E0A980FB9D221F3E8220BF02EF&yid=2DD7160C83D0ACED&vid=F3583C8E78166B9E&iid=DF92D298D3FF1E6E&sid=4944E31C6DB9BAF5&eid=C612D3F3E4FFE289&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=30