Unusual stability of a one-parameter family of dissipative solitons due to spectral filtering and nonlinearity saturation

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.061806· OSTI ID:21407887

Shihua, Chen ^[1]; Yi, Liu; Mysyrowicz, Andre ^[2]

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1. Department of Physics, Southeast University, Nanjing 211189 (China)
2. Laboratoire d'Optique Appliquee, Ecole Nationale Superieure de Techniques Avancees, Ecole Polytechnique, Centre National de la Recherche Scientifique, Unite Mixte de Recherche 7639, F-91761 Palaiseau (France)

The stability of a one-parameter family of dissipative solitons seen in the cubic-quintic complex Ginzburg-Landau equation is studied. It is found that an unusually strong stability occurs for solitons controlled by the spectral filtering and nonlinearity saturation simultaneously, consistently with the linear stability analysis and confirmed by large-perturbation numerical simulations. Two universal types of bifurcations in the spectrum structure are demonstrated.

• OSTI ID: 21407887
• Journal Information: Physical Review. A, Vol. 81, Issue 6; Other Information: DOI: 10.1103/PhysRevA.81.061806; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BIFURCATION
COMPUTERIZED SIMULATION
EQUATIONS
GINZBURG-LANDAU THEORY
NONLINEAR PROBLEMS
PERTURBATION THEORY
SOLITONS
SPECTRA
STABILITY
QUASI PARTICLES
SIMULATION