New Exact Solutions of the Davey–Stewartson Equation with Power-Law Nonlinearity

Gurefe Y., Misirli E., PANDIR Y., SÖNMEZOĞLU A., EKİCİ M.

Bulletin of the Malaysian Mathematical Sciences Society, vol.38, no.3, pp.1223-1234, 2015 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 3
  • Publication Date: 2015
  • Doi Number: 10.1007/s40840-014-0075-z
  • Journal Name: Bulletin of the Malaysian Mathematical Sciences Society
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1223-1234
  • Keywords: Soliton solutions, Trial equation method, Weierstrass transformation method
  • Uşak University Affiliated: No

Abstract

This work obtains the soliton solutions of the generalized Davey–Stewartson equation with the complex coefficients. First, the extended Weierstrass transformation method is used to carry out the solutions of this equation, and some new solutions, known as Weierstrass elliptic function solutions, are obtained by this method. Then, the trial equation method is used to obtain the soliton solutions of this equation.