Baecklund Transformation and Similarity Reductions of Nonlinear Partial Differential Equations Using Extended Homogeneous Balance Method  

作　　者：FANEn－Gui 

机构地区：[1]InstituteofMathematics,FudanUniversity,Shanghai200433,China

出　　处：《Communications in Theoretical Physics》2001年第5期523-526,共4页理论物理通讯（英文版）

摘　　要：Two new applications of homogeneous balance(HB) method are presented.It is shown that HB method can be extended to search for the Baecklund transformations and similarity reductions of nonlinear partial differential equations.The close relations among the HB method,Weiss-Tabor-Carnevale method and Clarkson-Kruskal direct reduction method are also found.KdV-MKdV equation is considered as an illustrative example,and its on kind of Backlund transformation,three kinds of similarity reductions and several kinds of travelling wave solutions are obtained by using extended HB method.

关 键 词：非线性偏微分方程 Baeckland变换 齐次平衡方法 

分 类 号：O175.29[理学—数学]