Analytical and numerical solutions of the Schrodinger-KdV equation

被引:13
|
作者
Labidi, Manel [2 ]
Ebadi, Ghodrat [3 ]
Zerrad, Essaid [4 ]
Biswas, Anjan [1 ]
机构
[1] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA
[2] Univ Carthage, Tunisia Polytech Sch, Lab Engn Math, La Marsa 2070, Tunisia
[3] Univ Tabriz, Fac Math Sci, Tabriz 5166614766, Iran
[4] Delaware State Univ, Dept Phys & Preengn, Dover, DE 19901 USA
来源
PRAMANA-JOURNAL OF PHYSICS | 2012年 / 78卷 / 01期
关键词
Solitons; integrability; G '/G method; variational iteration method; homotopy perturbation method; VARIATIONAL ITERATION METHOD; HOMOTOPY PERTURBATION METHOD; NONLINEAR ANALYTICAL TECHNIQUE; TRAVELING-WAVE SOLUTIONS; TANH METHOD; PDES; SYSTEMS;
D O I
10.1007/s12043-011-0212-2
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Schrodinger-KdV equation with power-law nonlinearity is studied in this paper. The solitary wave ansatz method is used to carry out the integration of the equation and obtain one-soliton solution. The G'/G method is also used to integrate this equation. Subsequently, the variational iteration method and homotopy perturbation method are also applied to solve this equation. The numerical simulations are also given.
引用
收藏
页码:59 / 90
页数:32
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