%0 Journal Article %T Applications of F-expansion method to the coupled KdV system %A Li Bao-An %A Wang Ming-Liang %A
李保安 %A 王明亮 %J 中国物理 B %D 2005 %I %X An extended F-expansion method for finding periodic wave solutions of nonlinear evolution equations in mathematical physics is presented, which can be thought of as a concentration of extended Jacobi elliptic function expansion method proposed more recently. By using the homogeneous balance principle and the extended F-expansion, more periodic wave solutions expressed by Jacobi elliptic functions for the coupled KdV equations are derived. In the limit cases, the solitary wave solutions and the other type of travelling wave solutions for the system are also obtained. %K coupled KdV equations %K extended F-expansion method %K Jacobi elliptic functions %K periodic wave solutions %K solitary wave solutions
KdV系统 %K 扩展性 %K 周期波 %K 非线性发展方程 %K Jacobi椭圆函数 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=962795254E7417A65A58B7C2BD71DDE1&yid=2DD7160C83D0ACED&vid=F3583C8E78166B9E&iid=9CF7A0430CBB2DFD&sid=0D4B5ACF7B6A1D2C&eid=0CCE46DAE11318DE&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=20