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

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 Backlund 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