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

共 19 条

[1] N-soliton solutions of Hirota-Satsuma coupled KdV equations with variable coefficients
Wang, Xin
Zhang, Ling-Ling
PHYSICA SCRIPTA, 2023, 98 (12)
[2] Stability of Solitary-Wave Solutions of Systems of Dispersive Equations
Jerry L. Bona
Hongqiu Chen
Ohannes Karakashian
Applied Mathematics & Optimization, 2017, 75 : 27 - 53
[3] Dynamic behavior of traveling wave solutions for new couplings of the Burgers equations with time-dependent variable coefficients
Jaradat, Husein M.
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[4] Multiple soliton solutions and multiple singular soliton solutions for (2+1)-dimensional shallow water wave equations
Wazwaz, Abdul-Majid
PHYSICS LETTERS A, 2009, 373 (33) : 2927 - 2930
[5] STABILITY OF SOLITARY WAVE SOLUTIONS FOR EQUATIONS OF SHORT AND LONG DISPERSIVE WAVES
Pava, Jaime Angulo
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2006,
[6] Dynamic behavior of traveling wave solutions for new couplings of the Burgers equations with time-dependent variable coefficients
Husein M Jaradat
Advances in Difference Equations, 2017
[7] N-soliton solutions of coupled Schrödinger-Boussinesq equation with variable coefficients
Zhang, LingLing
Han, HongTao
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 138
[8] Breather, lump and N-soliton wave solutions of the (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients
Li, Qianqian
Shan, Wenrui
Wang, Panpan
Cui, Haoguang
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2022, 106
[9] Multiple-soliton solutions and multiple-singular soliton solutions for two higher-dimensional shallow water wave equations
Wazwaz, Abdul-Majid
APPLIED MATHEMATICS AND COMPUTATION, 2009, 211 (02) : 495 - 501
[10] EXACT SOLITON SOLUTIONS AND QUASI-PERIODIC WAVE SOLUTIONS TO THE FORCED VARIABLE-COEFFICIENT KdV EQUATION
Zhang, Yi
Cheng, Zhilong
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2012, 26 (19):

← 1 2 →