SIMILARITY REDUCTIONS FOR 2+1-DIMENSIONAL VARIABLE COEFFICIENT GENERALIZED KADOMTSEV-PETVIASHVILI EQUATION

摘要

With the aid of MATHEMATICA, the direct reduction method was extended and applied in 2+1_dimensional variable coefficient generalized Kadomtsev_Petviashvili equation(VCGKPE). As a result, several kinds of similarity reductions for VCGKPE are obtained which contain Painleve Ⅰ, Painleve Ⅱ and Painleve Ⅳ reductions.