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

Journal Article · Tue Feb 01 04:00:00 EST 1994 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.49.R1000· OSTI ID:5200359

Cai, D; Bishop, A R; Gronbech-Jensen, N; Malomed, B A ^[1]

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1. Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States) Department of Applied Mathematics, School of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv 69978 (Israel)

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 Schroedinger 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.

• OSTI ID: 5200359
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States) Vol. 49:2; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ADIABATIC APPROXIMATION
BOUND STATE
DIFFERENTIAL EQUATIONS
DISSIPATION FACTOR
ENERGY BALANCE
EQUATIONS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
QUASI PARTICLES
SCHROEDINGER EQUATION
SOLITONS
STABILITY
WAVE EQUATIONS