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

Authors

    • College of Mathematics and StatisticsHenan University of Science and Technology
  • Er-qiang Li
    • College of Mathematics and StatisticsHenan University of Science and Technology
  • Ming-liang Wang
    • College of Mathematics and StatisticsHenan University of Science and Technology
    • Department of MathematicsLanzhou University
Article

DOI: 10.1007/s11766-010-2128-x

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

Abstract

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.

Keywords

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

MR Subject Classification

35Q20

Copyright information

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