SOLITARY WAVES, SHOCK WAVES AND SINGULAR SOLITONS OF GARDNER'S EQUATION FOR SHALLOW WATER DYNAMICS

被引：7

作者：

Daoui, Abdel Kader ^{[1
]}

Triki, Houria ^{[1
]}

Mirzazadeh, M. ^{[2
]}

Biswas, Anjan ^{[3
,4
]}

机构：

[1] Badji Mokhtar Univ, Fac Sci, Dept Phys, Radiat Phys Lab, Annaba 23000, Algeria

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

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

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

来源：

ACTA PHYSICA POLONICA B | 2014年 / 45卷 / 06期

关键词：

(G'/G)-EXPANSION METHOD; KDV EQUATION; ROSENAU-KDV;

D O I：

10.5506/APhysPolB.45.1135

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The paper addresses the dynamics of shallow water waves that are governed by the Gardner equation, that is a generalized version of the well-known Korteweg-de Vries equation. Exact solutions are obtained in presence of shoaling and advection terms with power law nonlinearity. The paper integrates the equation by the aid of G'/G-expansion method. This approach reveals singular soliton as well as shock wave solutions to the model. The solution existence criteria, also known as constraint conditions, are also displayed.

引用

页码：1135 / 1145

页数：11

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