Open AccessBRIGHT AND DARK SOLITON SOLUTIONS OF THE (2 + 1)-DIMENSIONAL EVOLUTION EQUATIONS
Author(s) -
Ahmet Bekir,
Adem C. Çevikel,
Özkan Güner,
Sait Eren San
Publication year - 2014
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2014.893456
Subject(s) - ansatz , soliton , constant (computer programming) , dissipative soliton , mathematical physics , one dimensional space , mathematics , physics , nonlinear system , mathematical analysis , function (biology) , exact solutions in general relativity , quantum mechanics , evolutionary biology , computer science , biology , programming language
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.