Exact Solutions for a Coupled Korteweg–de Vries System

Korteweg–de Vries (KdV)-type equation can be used to characterise the dynamic behaviours of the shallow water waves and interfacial waves in the two-layer fluid with gradually varying depth. In this article, by virtue of the bilinear forms, rational solutions and three kind shapes (soliton-like, kin...

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Bibliographic Details
Published inZeitschrift für Naturforschung. A, A journal of physical sciences Vol. 71; no. 11; pp. 1053 - 1058
Main Authors Zuo, Da-Wei, Jia, Hui-Xian
Format Journal Article
LanguageEnglish
Published De Gruyter 01.11.2016
Subjects
02.30.Jr
05.45.Yv
47.35.Fg
Bilinear Forms
Multi-Soliton Solutions
Rational Solutions
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Summary:Korteweg–de Vries (KdV)-type equation can be used to characterise the dynamic behaviours of the shallow water waves and interfacial waves in the two-layer fluid with gradually varying depth. In this article, by virtue of the bilinear forms, rational solutions and three kind shapes (soliton-like, kink and bell, anti-bell, and bell shapes) for the th-order soliton-like solutions of a coupled KdV system are derived. Propagation and interaction of the solitons are analyzed: (1) Potential shows three kind of shapes (soliton-like, kink, and anti-bell shapes); Potential exhibits two type of shapes (soliton-like and bell shapes); (2) Interaction of the potentials and both display the fusion phenomena.
ISSN:0932-0784
1865-7109
DOI:10.1515/zna-2016-0251