期刊
MATHEMATICAL MODELLING AND ANALYSIS
卷 19, 期 1, 页码 118-126出版社
VILNIUS GEDIMINAS TECH UNIV
DOI: 10.3846/13926292.2014.893456
关键词
exact solutions; bright and dark solitons; Boussinesq equation; Camassa-Holm-KP equation
类别
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.
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