BRIGHT AND DARK SOLITON SOLUTIONS OF THE (2 + 1)-DIMENSIONAL EVOLUTION EQUATIONS-Reference-Cited by-同舟云学术

BRIGHT AND DARK SOLITON SOLUTIONS OF THE (2 + 1)-DIMENSIONAL EVOLUTION EQUATIONS

Published:2014-02-20 Issue:1 Volume:19 Page:118-126
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Bekir Ahmet¹,Cevikel Adem C.²,Guner Ozkan³,San Sait¹

Affiliation:

1. Eskisehir Osmangazi University, Art-Science Faculty Eskisehir, Turkey

2. Yildiz Technical University, Education Faculty Istanbul, Turkey

3. Dumlupinar University, School of Applied Sciences Kutahya, Turkey

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.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

Reference25 articles.

1. The extended F-expansion method and its application for a class of nonlinear evolution equations

2. 1-soliton solution of the equation with generalized evolution

3. Bright and dark solitons of the Rosenau-Kawahara equation with power law nonlinearity

4. New double periodic and multiple soliton solutions of the generalized (2+1)-dimensional Boussinesq equation

5. New explicit solitary wave solutions for (2+1)-dimensional Boussinesq equation and (3+1)-dimensional KP equation

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