对“四阶色散抛物型介质中的光孤子”的评论[应用数学计算]。208(2009)209-302]
Comments on: "Optical solitons in a parabolic law media with fourth order dispersion"[Appl. Math. Comput. 208(2009)209-302]
摘要:
最近,Biswas和Milovic [Appl. Math. Comput. 208(2009)209-302]已经发现了四阶色散五阶非线性薛定谔方程的光学单孤子解。本文首先指出了文中的错误,并证明了所得解不满足所考虑的方程。然后用直接解析法和F-展开法重构了一系列解析精确解。这些解包括钟形孤波解、扭结形孤波解和雅可比椭圆函数的周期波解。
英文摘要:
Recently, Biswas and Milovic [Appl. Math. Comput. 208 (2009) 209-302] have found optical one-soliton solutions of a fourth order dispersive cubic-quintic nonlinear Schrödinger equation. In this comment, we first show there are mistakes in the paper and demonstrate that the obtained solutions do not satisfy the considered equation. And then we reconstruct a series of analytical exact solutions by means of a direct ansatz method and F-expansion method. These solutions include solitary wave solutions of the bell shape, solitary wave solutions of the kink shape, and periodic wave solutions of Jacobian elliptic function.
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