Comment on: “Application of the G′G method for the complex KdV equation” [Huiqun Zhang, Commun Nonlinear Sci Numer Simul 15;2010:1700–1704]
Comment on: “Application of the G′G method for the complex KdV equation” [Huiqun Zhang, Commun Nonlinear Sci Numer Simul 15;2010:1700–1704]
复制标题
DOI：
10.1016/j.cnsns.2010.03.001
复制
发表时间：
2011
影响因子：
3.9
通讯作者：
N. Kudryashov;P. Ryabov
中科院分区：
文献类型：
--
作者：
N. Kudryashov;P. Ryabov
在这封信中，我们分析了张b[1]的论文。利用改进的G′/G -展开法，Zhang发现了“复数KdV方程的新型精确行波解”。我们检查了张的“解”，并证明了除了一些平凡的情况外，它们都不满足KdV方程。此外，KdV方程的行波形式的通解早在一个多世纪以前就得到了。我们在这封信中给出了这个解决方案作为参考来源。
In this letter we analyze the paper by Zhang [1]. Using the improved G′/G – expansion method Zhang found “new types of exact travelling wave solutions of the complex KdV equation”. We checked Zhang’s “solutions” and proved that apart from trivial cases none of them satisfy the KdV equation. Moreover, the general solution of the KdV equation in the form of the travelling wave was obtained more than one century ago. We give this solution in this letter for the reference source.