Stabilizing a breather in the damped nonlinear Schrödinger equation driven by two frequencies

David Cai; A. R. Bishop; Niels Grønbech-Jensen; Boris A. Malomed

doi:10.1103/PhysRevE.49.R1000

Stabilizing a breather in the damped nonlinear Schrödinger equation driven by two frequencies

David Cai, A. R. Bishop, Niels Grønbech-Jensen, Boris A. Malomed

Mathematics

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

Abstract

In the framework of adiabatic perturbation theory and energy balance conditions, we analyze the possbility of stabilizing a breatherlike state (a bound state of two solitons with coinciding centers) in the damped (1+1)-dimensional cubic nonlinear Schrödinger equation by a two-frequency ac drive. The analytic predictions for the threshold of driving strengths above which a stable breather exists are in good agreement with those measured in numerical simulations.

Original language	English (US)
Pages (from-to)	R1000-R1002
Journal	Physical Review E
Volume	49
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevE.49.R1000
State	Published - 1994

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.49.R1000

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abstract = "In the framework of adiabatic perturbation theory and energy balance conditions, we analyze the possbility of stabilizing a breatherlike state (a bound state of two solitons with coinciding centers) in the damped (1+1)-dimensional cubic nonlinear Schr{\"o}dinger equation by a two-frequency ac drive. The analytic predictions for the threshold of driving strengths above which a stable breather exists are in good agreement with those measured in numerical simulations.",

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AB - In the framework of adiabatic perturbation theory and energy balance conditions, we analyze the possbility of stabilizing a breatherlike state (a bound state of two solitons with coinciding centers) in the damped (1+1)-dimensional cubic nonlinear Schrödinger equation by a two-frequency ac drive. The analytic predictions for the threshold of driving strengths above which a stable breather exists are in good agreement with those measured in numerical simulations.

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Stabilizing a breather in the damped nonlinear Schrödinger equation driven by two frequencies

Abstract

ASJC Scopus subject areas

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