Slope modulation of waves governed by sine-Gordon equation

被引：9
|
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：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2013年 / 18卷 / 07期
关键词：
Nonlinear wave; Soliton; Slope modulation; Variational-asymptotic method;
D O I：
10.1016/j.cnsns.2012.11.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using the variational-asymptotic method we develop the theory of slope modulation of wave packet governed by sine-Gordon equation. A class of asymptotic solutions to the equation of slope modulation is found in terms of the density of solitons. The comparison with the exact n-soliton solution of sine-Gordon equation shows quite excellent agreement. (c) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：1563 / 1567
页数：5
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