Applied Mathematics-A Journal of Chinese Universities

, Volume 25, Issue 4, pp 454–462

The (G′/G, 1/G)-expansion method and its application to travelling wave solutions of the Zakharov equations


DOI: 10.1007/s11766-010-2128-x

Cite this article as:
Li, Lx., Li, Eq. & Wang, Ml. Appl. Math. J. Chin. Univ. (2010) 25: 454. doi:10.1007/s11766-010-2128-x


The (G′/G, 1/G)-expansion method for finding exact travelling wave solutions of nonlinear evolution equations, which can be thought of as an extension of the (G′/G)-expansion method proposed recently, is presented. By using this method abundant travelling wave solutions with arbitrary parameters of the Zakharov equations are successfully obtained. When the parameters are replaced by special values, the well-known solitary wave solutions of the equations are rediscovered from the travelling waves.


The (G′/G 1/G)-expansion methodtravelling wave solutionshomogeneous balancesolitary wave solutionsZakharov equations

MR Subject Classification


Copyright information

© Editorial Committee of Applied Mathematics-A Journal of Chinese Universities and Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.College of Mathematics and StatisticsHenan University of Science and TechnologyLuoyangChina
  2. 2.Department of MathematicsLanzhou UniversityLanzhouChina