Structure and Properties of Four-Kink Multisolitons of the Sine-Gordon Equation

被引：15
|
作者：
Gumerov, A. M. [1 ]
Ekomasov, E. G. [1 ]
Zakir'yanov, F. K. [1 ]
Kudryavtsev, R. V. [1 ]
机构：
[1] Bashkir State Univ, Ufa 450076, Bashkortostan, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2014年 / 54卷 / 03期
关键词：
sine-Gordon equation; four-kink multisolitons; structure and properties of solitons; numerical-analytical study; IMPURITY INTERACTIONS; DOMAIN-WALL; SOLITON; DYNAMICS; KINKS; MODEL; PERTURBATIONS; SCATTERING; ANISOTROPY; FIELD;
D O I：
10.1134/S0965542514030075
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The dynamics of nonlinear waves of the sine-Gordon equation with a spatially modulated periodic potential are studied using analytical and numerical methods. The structure and properties of four-kink multisolitons excited on two identical attracting impurities are determined. For small-amplitude oscillations, an analytical spectrum of the oscillations is obtained, which is in qualitatively agreement with the numerical results.
引用
收藏
页码：491 / 504
页数：14
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