Autophasing of solitons

Journal Article · Fri May 15 00:00:00 EDT 2009 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776109050185· OSTI ID:21246886

Batalov, S V ^[1]; Shagalov, A G ^[1]

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1. Russian Academy of Sciences, Ural Branch, Institute of Metal Physics (Russian Federation)

The effect of an external wave perturbation with a slowly varying frequency on a soliton of the nonlinear Schroedinger equation is investigated. The equations that describe the time evolution of the perturbed-soliton parameters are derived. The necessary and sufficient soliton phase locking conditions that relate the rate of change in the frequency of the perturbation, its amplitude, wave number, and phase to the initial values of parameters for the soliton have been found.

• OSTI ID: 21246886
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 108, Issue 5; Other Information: DOI: 10.1134/S1063776109050185; Copyright (c) 2009 Pleiades Publishing, Ltd; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
MATHEMATICAL EVOLUTION
NONLINEAR PROBLEMS
PERTURBATION THEORY
SCHROEDINGER EQUATION
SOLITONS