Asymptotic behavior of dispersive waves in a spiral structure at large times


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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.

About the authors

V. V. Kiselev

Mikheev Institute of Metal Physics

Author for correspondence.
Email: kiseliev@imp.uran.ru
Russian Federation, Ekaterinburg

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