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

Gurefe Y., Misirli E., Pandir Y., Sonmezoglu A., Ekici M.

Bulletin of the Malaysian Mathematical Sciences Society, cilt.38, sa.3, ss.1223-1234, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 3
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s40840-014-0075-z
  • Dergi Adı: Bulletin of the Malaysian Mathematical Sciences Society
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1223-1234
  • Anahtar Kelimeler: Weierstrass transformation method, Trial equation method, Soliton solutions, TRAVELING-WAVE SOLUTIONS, EVOLUTION-EQUATIONS, PERIODIC-SOLUTIONS
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

© 2014, Malaysian Mathematical Sciences Society and Universiti Sains Malaysia.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.