Analytic Solutions to Forced KdV Equation

The Korteweg-de Vries equation with a forcing term is established by recent studies as a simple mathematical model of describing the physics of a shallow layer of fluid subject to external forcing. In the present paper, we study the analytic solutions to the KdV equation with forcing term by using H...

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Bibliographic Details
Published in:Communications in theoretical physics 2009-08, Vol.52 (8), p.279-283
Main Author: ZHAO Jun-Xiao GUO Bo-Ling
Format: Article
Language:English
Subjects:
KdV方程
孤子解
强迫项
德弗里斯
物理数学模型
直接法
解析解
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Summary:The Korteweg-de Vries equation with a forcing term is established by recent studies as a simple mathematical model of describing the physics of a shallow layer of fluid subject to external forcing. In the present paper, we study the analytic solutions to the KdV equation with forcing term by using Hirota＇s direct method. Several exact solutions are given as examples, from which one can see that the same type soliton solutions can be excited by different forced term.
ISSN:0253-6102
DOI:10.1088/0253-6102/52/2/18