Snake solitons in the cubic-quintic Ginzburg-Landau equation

DOI10.1016/j.matcom.2009.06.017zbMath1176.65149OpenAlexW2008735127MaRDI QIDQ1038122

Stefan C. Mancas, S. Roy Choudhury

Publication date: 17 November 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.06.017

zbMATH Keywords

nonlinear wavesGinzburg-Landau equationnonlinear PDEdissipative solitonssnaking solitons

Mathematics Subject Classification ID

Numerical bifurcation problems (65P30)

Cites Work

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• The variational principle for nonlinear waves in dissipative systems
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• Sources, sinks and wavenumber selection in coupled CGL equations and experimental implications for counter-propagating wave systems
• Spatial structure of time-periodic solutions of the Ginzburg-Landau equation
• Dissipative solitons
• Solutions of the Ginzburg-Landau Equation of Interest in Shear Flow Transition
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• Instabilities of the Ginzburg-Landau equation: periodic solutions
• Instabilities of the Ginzburg-Landau equation. II. Secondary bifurcation
• Fronts, domain walls and pulses in a generalized Ginzburg-Landau equation
• Modulated amplitude waves and defect formation in the one-dimensional complex Ginzburg-Landau equation

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