Chaotic soliton walk in periodically modulated media

Dmitry Turaev; Mindaugas Radziunas; Andrei G. Vladimirov

doi:10.1103/PhysRevE.77.065201

Chaotic soliton walk in periodically modulated media

Dmitry Turaev, Mindaugas Radziunas, Andrei G. Vladimirov

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

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.

Original language	English
Article number	065201
Journal	Physical Review E
Volume	77
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.77.065201
State	Published - 9 Jun 2008

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.77.065201

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title = "Chaotic soliton walk in periodically modulated media",

abstract = "We show that a weak transverse spatial modulation in (2+1) nonlinear Schr{\"o}dinger-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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AB - 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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Chaotic soliton walk in periodically modulated media

Abstract

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