Bright and Dark Soliton Solutions of the (2+1)-Dimensional Evolution Equations


Bekir A., ÇEVİKEL A. C. , Guner O., San S.

MATHEMATICAL MODELLING AND ANALYSIS, cilt.19, ss.118-126, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 19 Konu: 1
  • Basım Tarihi: 2014
  • Doi Numarası: 10.3846/13926292.2014.893456
  • Dergi Adı: MATHEMATICAL MODELLING AND ANALYSIS
  • Sayfa Sayıları: ss.118-126

Özet

In this paper, we obtained the 1-soliton solutions of the (2+1)-dimensional Boussinesq equation and the Camassa-Holm-KP equation. By using a solitary wave ansatz in the form of sech(p) function, we obtain exact bright soliton solutions and another wave ansatz in the form of tanh(p) function we obtain exact dark soliton solutions for these equations. The physical parameters in the soliton solutions are obtained nonlinear equations with constant coefficients.