SOLITON SOLUTIONS FOR NON-LINEAR DISPERSIVE WAVE EQUATIONS WITH VARIABLE-COEFFICIENTS

被引：0

作者：

Abu-Falahah, Ibraheem ^{[1
]}

机构：

[1] Hashemite Univ, Dept Math, Zarqa 13115, Jordan

来源：

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2018年 / 40期

关键词：

dispersive wave equations; multiple soliton solution; hirota bilinear method;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the solitary wave solution for the variable-coefficient non-linear dispersive wave equation. We develop a simplified bilinear method to construct the multi-soliton solutions for such an equation. We prove that the proposed scheme is effective and easy to implement. Finally, effects of the inhomogeneities of media on the soliton behavior are discussed with the aid of the characteristic curve method and graphical analysis.

引用

页码：61 / 67

页数：7

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