Isaac Scientific Publishing

Journal of Advances in Applied Mathematics

Many New Exact Solutions for Generalized Davey-Stewartson Equation with Arbitrary Power Nonlinearities Using Novel (G'/G)-Expansion Method

Download PDF (536.7 KB) PP. 10 - 21 Pub. Date: January 15, 2019

DOI: 10.22606/jaam.2019.41002

Author(s)

  • Beibei Zhang1, Mei Xiong1* and Longwei Chen1
    1College of Statistics and Mathematics, Yunnan University of Finance and Economics

Abstract

The novel (G'/G)-expansion method is applied to solve generalized Davey-Stewartson equations with arbitrary power nonlinearities and obtain some exact traveling wave solutions. Via this method, we obtain kink wave solutions, anti-kink wave solutions, exact solitary wave solutions, periodic wave solutions. Also, it is shown that this method is influential for solving nonlinear partial differential equations (PDEs) in mathematical physics and engineering.

Keywords

Novel (G'/G)-expansion method, Davey-Stewartson equation, exact traveling wave, solitary wave.

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