河南科技大学学报（自然科学版）2012，Vol.33Issue(4)：78-81,4.
扩展的G'/G展开法与变系数薛定谔方程的精确解
Extended G'/G-Expansion Method and Exact Solutions of a Nonlinear Schrddinger Equation with Variable-Coefficients
摘要
Abstract
The G'/G-expansion method proposed recently is further extended to solve nonlinear SchrOdinger equation with variable-coefficients. As a result,hyperbolic function solution,trigonometric function solution and rational solution with parameters were obtained when the coefficients of the equation satisfied certain constraint conditions. When the parameters were taken as special values, the well known kink-type solitary wave solutions were derived from the hyperbolic function solution. The results show that the proposed method is direct, effective and can be used for other nonlinear evolution equations with variable coefficients in mathematical physics.关键词
G'/G展开法/变系数薛定谔方程/精确解Key words
G'/G-expansion method/Nonlinear SchrSdinger equation with variable-coefficients/Exact solutions分类
数理科学引用本文复制引用
许丽萍,张金良..扩展的G'/G展开法与变系数薛定谔方程的精确解[J].河南科技大学学报（自然科学版）,2012,33(4):78-81,4.基金项目
河南省国际合作交流基金项目(084300510060,094300510050) （084300510060,094300510050）
