Nonlinear dynamics of a quasi-one-dimensional helicoidal structure

被引：11

作者：

Kiselev, V. V. ^{[1
]}

Raskovalov, A. A. ^{[1
]}

机构：

[1] RAS, Inst Met Phys, Ural Branch, Ekaterinburg, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2012年 / 173卷 / 02期

关键词：

helicoidal structure; sine-Gordon equation; Riemann problem; kink; breather; RIEMANN BOUNDARY-PROBLEM;

D O I：

10.1007/s11232-012-0133-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analytically describe solitons and spin waves in the helicoidal structure of magnets without an inversion center using the "dressing" method in the framework of the sine-Gordon model. Analyzing the nonlinear dynamics of spin waves in the helicoidal-structure background reduces to solving linear integral equations on a Riemann surface generated by the superstructure. We obtain spectral expansions of integrals of motion with the soliton and spin-wave contributions separated.

引用

页码：1565 / 1586

页数：22

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