The correct traveling wave solutions for the high-order dispersive nonlinear Schrödinger equation

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摘要

The high-order dispersive nonlinear Schrödinger equation is considered. The exact solutions were obtained by Zhang et al. [J.L. Zhang, M.L. Wang, X.Z. Li, Phys. Lett. A 357 (2006) 188–195] are analyzed. We can demonstrate that some solutions do not satisfy this equation. To obtain the correct solutions, the F-expansion method is applied to solve it.

论文关键词:F-expansion method,Higher order dispersive nonlinear Schrödinger equation,Jacobi elliptic function,Soliton-like solution,Trigonometric function solution

论文评审过程:Available online 6 March 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2010.03.011