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

页码：491 / 504

页数：14

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