Slope modulation of ring waves governed by two-dimensional sine-Gordon equation

被引：4
|
作者：
Le, K. C. [1 ]
Nguyen, L. T. K. [1 ]
机构：
[1] Ruhr Univ Bochum, Lehrstuhl Mech Mat Theorie, D-44780 Bochum, Germany
来源：
WAVE MOTION | 2015年 / 55卷
关键词：
Nonlinear waves; Two-dimensional sine-Gordon equation; Slope modulation; Ring kink; QUASI-SOLITON SOLUTIONS; DARK SOLITONS;
D O I：
10.1016/j.wavemoti.2014.12.005
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
A theory of slope modulation of waves governed by the two-dimensional sine-Gordon equation is proposed. A large time asymptotic solution describing the slope modulation of trains of ring kinks is obtained. The comparison with the numerical solution of two-dimensional sine-Gordon equation shows excellent agreement. (C) 2015 Elsevier B.V. All rights reserved.
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页码：84 / 88
页数：5
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