Bright and Dark Soliton Solutions of the (2+1)-Dimensional Evolution Equations
MATHEMATICAL MODELLING AND ANALYSIS, vol.19, no.1, pp.118-126, 2014 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 19 Issue: 1
- Publication Date: 2014
- Doi Number: 10.3846/13926292.2014.893456
- Journal Name: MATHEMATICAL MODELLING AND ANALYSIS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.118-126
- Open Archive Collection: AVESIS Open Access Collection
- Eskisehir Osmangazi University Affiliated: Yes
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 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.