Amplitude modulation of waves governed by Korteweg-de Vries equation

被引：11
作者：
Le, Khanh Chau [1 ]
Lu Trong Khiem Nguyen [1 ]
机构：
[1] Ruhr Univ Bochum, Lehrstuhl Mech Mat Theorie, D-44780 Bochum, Germany
来源：
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2014年 / 83卷
关键词：
Nonlinear wave; KdV equation; Amplitude modulation; Soliton; Positon;
D O I：
10.1016/j.ijengsci.2014.04.019
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Using the variational-asymptotic method we develop the theory of amplitude modulation of waves governed by Korteweg-de Vries (KdV) equation. Two asymptotic solutions describing the amplitude modulation of trains of solitons and of positons are obtained. The comparison with the exact solutions of KdV equation shows quite excellent agreement. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：117 / 123
页数：7
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