New types of exact solutions for nonlinear Schrödinger equation with cubic nonlinearity

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摘要

Although, many exact solutions were obtained for the cubic Schrödinger equation by many researchers, we obtained in this research not only more exact solutions but also new types of exact solutions in terms of Jacobi-elliptic functions and Weierstrass-elliptic function.

论文关键词:37N40,Nonlinear equations,Jacobi-elliptic functions,Weierstrass-elliptic function,Schrödinger equation,Improved F-expansion method

论文评审过程:Received 2 October 2009, Revised 28 September 2010, Available online 8 October 2010.

论文官网地址:https://doi.org/10.1016/j.cam.2010.09.024