1-Soliton solution of KdV6 equation

被引：109

作者：

Mirzazadeh, Mohammad ^{[1
]}

Eslami, Mostafa ^{[2
]}

Biswas, Anjan ^{[3
,4
]}

机构：

[1] Univ Guilan, Fac Math Sci, Dept Math, Rasht, Iran

[2] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran

[3] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA

[4] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

来源：

NONLINEAR DYNAMICS | 2015年 / 80卷 / 1-2期

关键词：

Solitary waves; Shock waves; Integrability; TRAVELING-WAVE SOLUTIONS; CONSERVATION-LAWS; TANH METHOD; (G'/G)-EXPANSION METHOD; NONLINEAR EVOLUTION; SOLITON-SOLUTIONS; SHOCK-WAVES;

D O I：

10.1007/s11071-014-1876-1

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper applies three forms of integration tools to integrate KdV6 equation that represents a nonholonomic deformation of the well-known KdV equation, which models shallow-water dynamics. The three integration algorithms applied are Kudryashov's method, extended tanh scheme as well as G'/G-expansion mechanism. These tools lead to solitary waves, shock waves as well as singular periodic solutions to the equation. The corresponding integrability criteria, also known as constraint conditions, naturally emerge from the analysis of the problem.

引用

页码：387 / 396

页数：10

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