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Chaotic soliton walk in periodically modulated media

Dmitry Turaev, Mindaugas Radziunas, and Andrei G. Vladimirov
Phys. Rev. E 77, 065201(R) – Published 9 June 2008

Abstract

We show that a weak transverse spatial modulation in (2+1) nonlinear Schrödinger-type equation can result in nontrivial dynamics of a radially symmetric soliton. We provide examples of chaotic soliton motion in periodic media both for conservative and dissipative cases. We show that complex dynamics can persist even for soliton sizes greater than the modulation period.

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  • Received 12 October 2007

DOI:https://doi.org/10.1103/PhysRevE.77.065201

©2008 American Physical Society

Authors & Affiliations

Dmitry Turaev1, Mindaugas Radziunas2, and Andrei G. Vladimirov2,3

  • 1Ben Gurion University, 84105 Be’er Sheva, Israel
  • 2Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D-10117 Berlin, Germany
  • 3Physics Faculty, St. Petersburg State University, Ulianovskaya 3, 198504 St. Petersburg, Russia

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Issue

Vol. 77, Iss. 6 — June 2008

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