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Original Articles

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

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Pages 118-126 | Received 17 Apr 2013, Accepted 06 Feb 2014, Published online: 06 Mar 2014
 

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 sechp function, we obtain exact bright soliton solutions and another wave ansatz in the form of tanhp function we obtain exact dark soliton solutions for these equations. The physical parameters in the soliton solutions are obtained nonlinear equations with constant coefficients.

AMS Subject Classification:

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