Solitons and other nonlinear waves of the Boussinesq equation

被引：74

作者：

Krishnan, E. V. ^{[2
]}

Kumar, Sachin ^{[3
]}

Biswas, Anjan ^{[1
]}

机构：

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

[2] Sultan Qaboos Univ, Dept Math & Stat, Muscat 123, Oman

[3] Thapar Univ, Sch Math & Comp Applicat, Patiala 147004, Punjab, India

来源：

NONLINEAR DYNAMICS | 2012年 / 70卷 / 02期

关键词：

Solitons; Shallow water waves; Integrability; HAMILTONIAN AMPLITUDE EQUATION; COMPACTONS;

D O I：

10.1007/s11071-012-0525-9

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper studies the dynamics of shallow water waves that are governed by the Boussinesq equations. A few perturbation terms are taken into account. The ansatz method is used to carry out the perturbed Boussinesq equation. Later on, the mapping method is used to extract a few more analytical solutions. Additionally, the Weierstrass elliptic function method is also used to obtain solitary waves and singular soliton solutions. Finally, the Lie symmetry approach is used to extract a few more additional solutions.

引用

页码：1213 / 1221

页数：9

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