Trial function method and exact solutions to the generalized nonlinear Schrdinger equation with time-dependent coefficient

作者：Cao Rui; Zhang Jian; College of Mathematics and Software Science Sichuan Normal University; Department of Mathematics Heze University

来源：Chinese Physics B, 2013, (10): 186-189.

• generalized nonlinear Schro&uml
• dinger equation
• exact solution
• trial function method

In this paper,the trial function method is extended to study the generalized nonlinear Schrdinger equation with timedependent coefficients.On the basis of a generalized traveling wave transformation and a trial function,we investigate the exact envelope traveling wave solutions of the generalized nonlinear Schrdinger equation with time-dependent coefficients.Taking advantage of solutions to trial function,we successfully obtain exact solutions for the generalized nonlinear Schrdinger equation with time-dependent coefficients under constraint conditions.