Abstract
In the framework of the sine-Gordon integrable model for spiral magnetic structures, we investigate the behavior at large times of a weakly nonlinear dispersive wave field generated by a spatially local initial excitation of the structure. The method used is based on a direct asymptotic analysis of the corresponding matrix of the Riemann problem on the torus.
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This research was performed in the framework of the state assignment of FASO Russia (topic: Quantum, No. 01201463332).
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 187, No. 1, pp. 21–38, April, 2016.
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Kiselev, V.V. Asymptotic behavior of dispersive waves in a spiral structure at large times. Theor Math Phys 187, 463–478 (2016). https://doi.org/10.1134/S0040577916040036
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DOI: https://doi.org/10.1134/S0040577916040036