Title of article :
Comment on: “Application of the method for the complex KdV equation” [Huiqun Zhang, Commun Nonlinear Sci Numer Simul 15;2010:1700–1704]
Author/Authors :
Kudryashov، نويسنده , , Nikolay A. and Ryabov، نويسنده , , Pavel N.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Abstract :
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.
Keywords :
tanh-method , G?/G – method , exact solutions , Nonlinear Evolution equations , Simplest equation method , Seven common errors , Complex KdV equation
Journal title :
Communications in Nonlinear Science and Numerical Simulation
Journal title :
Communications in Nonlinear Science and Numerical Simulation