Nonlinear dynamics of a quasi-one-dimensional helicoidal structure

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 i...

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Bibliographic Details
Published inTheoretical and mathematical physics Vol. 173; no. 2; pp. 1565 - 1586
Main Authors Kiselev, V. V., Raskovalov, A. A.
Format Journal Article
LanguageEnglish
Published Dordrecht SP MAIK Nauka/Interperiodica 01.11.2012
Subjects
Applications of Mathematics
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
helicoidal structure
kink
sine-Gordon equation
Riemann problem
breather
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Summary: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.
ISSN:0040-5779
1573-9333
DOI:10.1007/s11232-012-0133-3