Soliton complexity in the damped-driven nonlinear Schrödinger equation: stationary, periodic, quasiperiodic complexes

Abstract

Stationary and oscillatory bound states, or complexes, of the damped-driven solitons are numerically path-followed in the parameter space. We compile a chart of the two-soliton attractors, complementing the one-soliton attractor chart.

12 pages, 7 figures

References in corpus (8)

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• Discrete solitons in electromechanical resonators
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Cited by in corpus (8)

• Spin-transfer-driven nano-oscillators are equivalent to parametric resonators
• A quasi-periodic route to chaos in a parametrically driven nonlinear medium
• Dissipative structures in a parametrically driven dissipative lattice: chimera, localized disorder, continuous-wave, and staggered state
• Fine structure of soliton bound states in the parametrically driven, damped nonlinear Schrödinger equation
• Long-lived Nonlinear Oscillatory States in Interacting Relativistic Bose-Einstein Condensates
• Solitons in a parametrically driven damped discrete nonlinear Schrödinger equation
• Breather bound states in a parametrically driven magnetic wire
• The direct scattering study of the parametrically driven nonlinear Schrödinger equation