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- Title
Nonlinear dynamics of a quasi-one-dimensional helicoidal structure.
- Authors
Kiselev, V.; Raskovalov, A.
- Abstract
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.
- Subjects
NONLINEAR theories; RIEMANN-Hilbert problems; SOLITONS; INTEGRAL equations; INVERSIONS (Geometry); MATHEMATICAL models; RIEMANN surfaces
- Publication
Theoretical & Mathematical Physics, 2012, Vol 173, Issue 2, p1565
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1007/s11232-012-0133-3