Switching of bound vector solitons for the coupled nonlinear Schroedinger equations with nonhomogenously stochastic perturbations

Journal Article · Sat Dec 15 04:00:00 EST 2012 · Chaos (Woodbury, N. Y.)

DOI:https://doi.org/10.1063/1.4767956· OSTI ID:22093998

Zhiyuan, Sun; Xin, Yu; Ying, Liu ^[1]; Yitian, Gao ^[1]

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1. Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100191 (China)

We investigate the dynamics of the bound vector solitons (BVSs) for the coupled nonlinear Schroedinger equations with the nonhomogenously stochastic perturbations added on their dispersion terms. Soliton switching (besides soliton breakup) can be observed between the two components of the BVSs. Rate of the maximum switched energy (absolute values) within the fixed propagation distance (about 10 periods of the BVSs) enhances in the sense of statistics when the amplitudes of stochastic perturbations increase. Additionally, it is revealed that the BVSs with enhanced coherence are more robust against the perturbations with nonhomogenous stochasticity. Diagram describing the approximate borders of the splitting and non-splitting areas is also given. Our results might be helpful in dynamics of the BVSs with stochastic noises in nonlinear optical fibers or with stochastic quantum fluctuations in Bose-Einstein condensates.

• OSTI ID: 22093998
• Journal Information: Chaos (Woodbury, N. Y.), Journal Name: Chaos (Woodbury, N. Y.) Journal Issue: 4 Vol. 22; ISSN CHAOEH; ISSN 1054-1500
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
APPROXIMATIONS
BOSE-EINSTEIN CONDENSATION
DISPERSIONS
DISTURBANCES
FLUCTUATIONS
OPTICAL FIBERS
PERTURBATION THEORY
SCHROEDINGER EQUATION
SOLITONS
STATISTICS
STOCHASTIC PROCESSES