Traveling hole solutions to the complex Ginzburg-Landau equation as perturbations of nonlinear Schrödinger dark solitons

DOI10.1016/S0167-2789(96)00218-7zbMath0885.35122MaRDI QIDQ678334

Stephan Fauve, Joceline C. Lega

Publication date: 16 April 1997

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

complex Ginzburg-Landaudark solitonsnonlinear Schrödingertraveling hole solutions

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (10)

Exact solutions of the one-dimensional generalized modified complex Ginzburg-Landau equation ⋮ Standing waves of the complex Ginzburg-Landau equation ⋮ Existence of standing waves for the complex Ginzburg-Landau equation ⋮ An instability criterion for nonlinear standing waves on nonzero backgrounds ⋮ Spectral stability analysis for periodic traveling wave solutions of NLS and CGL perturbations ⋮ Dark soliton dynamics under the complex Ginzburg-Landau equation ⋮ Dromion-like structures and stability analysis in the variable coefficients complex Ginzburg-Landau equation ⋮ Traveling hole solutions of the complex Ginzburg-Landau equation: A review ⋮ The world of the complex Ginzburg-Landau equation ⋮ Primary and secondary nonlinear global instability

Cites Work

• Chemical oscillations, waves, and turbulence
• Breaking the hidden symmetry in the Ginzburg-Landau equation
• Spatio-temporal intermittency in a 1D convective pattern: Theoretical model and experiments
• Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
• Spatiotemporal chaos in the one-dimensional complex Ginzburg-Landau equation
• A form of turbulence associated with defects
• Space and time intermittency behaviour of a one-dimensional complex Ginzburg-Landau equation
• Spatiotemporal intermittency regimes of the one-dimensional complex Ginzburg-Landau equation
• Hole solutions in the 1D complex Ginzburg-Landau equation
• From dark solitons in the defocusing nonlinear Schrödinger to holes in the complex Ginzburg-Landau equation
• Unnamed Item

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