A NEW APPROACH FOR SOLITON SOLUTIONS OF RLW EQUATION AND (1+2)-DIMENSIONAL NONLINEAR SCHRODINGER'S EQUATION

Filiz A., Sönmezoğlu A., Ekici M., Duran D.

MATHEMATICAL REPORTS, vol.17, no.1, pp.43-56, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 1
  • Publication Date: 2015
  • Journal Name: MATHEMATICAL REPORTS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.43-56
  • Keywords: extended trial equation method, RLW equation, (1+2)-dimensional nonlinear Schrodinger's equation in dual-power law media, soliton solution, elliptic solutions, EVOLUTION-EQUATIONS, TANH METHOD
  • Yozgat Bozok University Affiliated: Yes

Abstract

In this paper, we introduce a new version of the trial equation method for solving non-integrable partial differential equations in mathematical physics. The exact traveling wave solutions including soliton solutions, singular soliton solutions, rational function solutions and elliptic function solutions to the RLW equation and (1+2)-dimensional nonlinear Schrodinger's equation in dual-power law media are obtained by this method.