Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2748

Full Length Research Paper

(G´/G, 1/G)-expansion method for traveling wave solutions of (2+1) dimensional generalized KdV, Sin Gordon and Landau-Ginzburg-Higgs Equations

Amna Iftikhar, Aysha Ghafoor, Tamour Zubair, Sahar Firdous and Syed Tauseef Mohyud-Din*
Department of Mathematics, HITEC University, Taxila Cantt, Pakistan.
Email: [email protected]

  •  Accepted: 17 June 2013
  •  Published: 25 July 2013

Abstract

The-expansion method is one of the most direct and effective method for obtaining exact solutions of nonlinear partial differential equations (PDEs). In the present article, we construct the exact travelling wave solutions of nonlinear evolution equations in mathematical physics via (2+1) dimensional generalized KdV, Sin Gordon Equation and Landau-Ginzburg-Higgs Equation by -expansion method, where  satisfies the auxiliary ordinary differential equation (ODE)  where  and  are arbitrary constants.

 

Key words: (2+1) dimensional generalized KdV, Sin Gordon Equation, Landau- Ginzburg-Higgs equation, -expansion method, auxiliary equation, travelling wave solutions.