Abundant explicit exact solutions to the generalized nonlinear Schrodinger equation with parabolic law and dual-power law nonlinearities

作者：Zheng, Xiaoxiao; Shang, Yadong^*

来源：Mathematical Methods in the Applied Sciences, 2015, 38(2): 296-310.

DOI：10.1002/mma.3069

• the generalized nonlinear Schrodinger equation
• the first integral method
• exact solutions
• solitary wave solutions
• periodic wave solutions

This paper is concerned with the generalized nonlinear Schrodinger equation with parabolic law and dual-power law. Abundant explicit and exact solutions of the generalized nonlinear Schrodinger equation with parabolic law and dual-power law are derived uniformly by using the first integral method. These exact solutions are include that of extended hyperbolic function solutions, periodic wave solutions of triangle functions type, exponential form solution, and complex hyperbolic trigonometric function solutions and so on. The results obtained confirm that the first integral method is an efficient technique for analytic treatment of a wide variety of nonlinear systems of partial DEs.

• 出版日期2015-1-30
• 单位广州大学