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- Title
Bright and Dark Soliton Solutions of the (2 + 1)-Dimensional Evolution Equations.
- Authors
Bekir, Ahmet; Cevikel, Adem C.; Güner, Özkan; San, Sait
- Abstract
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 sechpfunction, we obtain exact bright soliton solutions and another wave ansatz in the form of tanhpfunction we obtain exact dark soliton solutions for these equations. The physical parameters in the soliton solutions are obtained nonlinear equations with constant coefficients.
- Subjects
SOLITONS; TWO-dimensional models; NUMERICAL solutions to evolution equations; ONE-dimensional flow; BOUSSINESQ equations; MATHEMATICAL forms; NONLINEAR equations
- Publication
Mathematical Modelling & Analysis, 2014, Vol 19, Issue 1, p118
- ISSN
1392-6292
- Publication type
Article
- DOI
10.3846/13926292.2014.893456