Exact Solutions of Nonlinear Evolution Equations by Using Modified Simple Equation Method

BEKİR A., AKBULUT A., KAPLAN YALÇIN M.

International Journal of Nonlinear Science, cilt.19, ss.159-164, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.camwa.2014.12.011
  • Dergi Adı: International Journal of Nonlinear Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.159-164
  • Anahtar Kelimeler: Modified simple equation method, Nonlinear evolution equations, Exact solutions, Solitary wave solutions, KADOMTSEV-PETVIASHVILI EQUATION, CALOGERO-BOGOYAVLENSKII-SCHIFF, PARTIAL-DIFFERENTIAL-EQUATIONS, POWER-LAW NONLINEARITY, SOLITON-SOLUTIONS, WAVE-EQUATIONS, CONSERVATION-LAWS, PERTURBATION, KINKS
  • Bursa Uludağ Üniversitesi Adresli: Hayır

Özet

In this paper, the modified simple equation method (MSEM) is applied to construct exact solutions of the generalized (2 + 1)-dimensional nonlinear evolution equations (NLEEs) involving parameters via the (2 + 1)-dimensional Calogero-Bogoyavlenskii-Schiff (CBS) equation, the (2 + 1)-dimensional breaking soliton equation and the (2 + 1)-dimensional Bogoyavlenskii's breaking soliton equation. The solitary wave solutions are derived from the exact solutions by assigning special values of the parameters. (C) 2014 Elsevier Ltd. All rights reserved.