具四维对称代数的变系数非线性Schrdinger方程的部分不变解

PARTIALLY INVARIANT SOLUTIONS OF THEVARIABLECOEFFICIENT NONLINEAR SCHRDINGEREQUATIONS WITH FOURDIMENSIONALSYMMETRY ALGEBRAS

基于对称解的子群分类方法，得到了具四维对称代数的变系数非线性Ｓｃｈｒｏｄｉｎｇｅｒ方程的部分不变解．

おhe partially invariant solutions of the variablecoefficient nonlinear Schrdinger equations with fourdimensional symmetry algebras are obtained. The method employed is the subgroup classification of the symmetry group.