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
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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