Bound solitons in the ac-driven, damped nonlinear Schroedinger equation

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.49.1677· OSTI ID:5323752

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)

We demonstrate analytically that the effective potential of interaction between widely separated solitons in a damped, ac-driven nonlinear Schroedinger equation is oscillatory at large distances. We show numerically that two solitons in the system attract each other if the initial distance between them is smaller than a certain critical value; consequently, they will either form an oscillatory bound state with a finite lifetime, collapse to a stable single soliton state, or decay to the rotating background. If the initial separation is greater than the critical value, they separate to form a stable bound state at a second critical distance. The critical distances are in good agreement with the analytical prediction.

• OSTI ID: 5323752
• 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
ANALYTICAL SOLUTION
BOUND STATE
COMPUTERIZED SIMULATION
DAMPING
DIFFERENTIAL EQUATIONS
DISTANCE
EQUATIONS
INTERACTIONS
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES
SCHROEDINGER EQUATION
SIMULATION
SOLITONS
WAVE EQUATIONS