Further exact traveling wave solutions to the (2+1)-dimensional Boussinesq and Kadomtsev-Petviashvili equation

被引:0
|
作者
Akbar, M. Ali [1 ,2 ]
Ali, Norhashidah Hj. Mohd. [1 ]
Mohyud-Din, Syed Tauseef [3 ]
机构
[1] Univ Sains Malaysia, Sch Math Sci, George Town, Malaysia
[2] Rajshahi Univ, Dept Appl Math, Rajshahi, Bangladesh
[3] HITEC Univ Taxi Cantt Pakistan, Dept Math, Rawalpindi, Pakistan
关键词
The (G '/G)-expansion method; the Riccati equation; the traveling wave solutions; the Boussinesq and Kadomtsev-Petviashvili equation; GENERALIZED (G'/G)-EXPANSION METHOD; NONLINEAR EVOLUTION-EQUATIONS; EXPANSION METHOD; SOLITARY WAVES;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In the real world, the modelling of various intricate physical phenomena, the higher dimensional nonlinear evolution equations come into further attractive in many branches of physical sciences. In this article, by the use of the Riccati equation to the (G"/G) expansion method, we construct more new exact traveling wave solutions of the (2+1)-dimensional Boussinesq and Kadomtsev-Petviashvili equation in a unified way involving arbitrary parameters. The obtained solutions are expressed in terms of hyperbolic, trigonometric and rational functions. When the parameters take special values, the solitary wave are derived from the traveling waves. The obtained solutions may be imperative and significant for the explanation of some practical physical problems.
引用
收藏
页码:557 / 571
页数:15
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