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Nonlinear dynamics of a quasi-one-dimensional helicoidal structure

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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.

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Authors and Affiliations

  1. Institute of Metal Physics, Ural Branch, RAS, Ekaterinburg, Russia

    V. V. Kiselev & A. A. Raskovalov

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  1. V. V. Kiselev
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  2. A. A. Raskovalov
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Correspondence to V. V. Kiselev.

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__________

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 173, No. 2, pp. 268–292, November, 2012.

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Kiselev, V.V., Raskovalov, A.A. Nonlinear dynamics of a quasi-one-dimensional helicoidal structure. Theor Math Phys 173, 1565–1586 (2012). https://doi.org/10.1007/s11232-012-0133-3

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  • DOI: https://doi.org/10.1007/s11232-012-0133-3

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