Bifurcations of plane wave (CW) solutions in the complex cubic--quintic Ginzburg--Landau equation

DOI10.1016/J.MATCOM.2006.10.009zbMath1111.35080OpenAlexW1991190996MaRDI QIDQ875324

S. Roy Choudhury, Stefan C. Mancas

Publication date: 13 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.matcom.2006.10.009

zbMATH Keywords

hysteresissingularitiesplane wavesbifurcationstraveling wavedouble limit curvesisola

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (2)

Response solution to complex Ginzburg-Landau equation with quasi-periodic forcing of Liouvillean frequency ⋮ Quasiperiodic solutions for the cubic complex Ginzburg–Landau equation

Cites Work

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• Slow time-periodic solutions of the Ginzburg-Landau equation
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Singularities and groups in bifurcation theory. Volume I
• Periodic and quasi-periodic solutions of degenerate modulation equations
• Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
• Traveling waves in the complex Ginzburg-Landau equation
• 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
• Nonlinear analysis of the Eckhaus instability: Modulated amplitude waves and phase chaos with nonzero average phase gradient
• Robust heteroclinic cycles in the one-dimensional complex Ginzburg-Landau equation
• ON THE NORMAL FORMS OF CERTAIN PARAMETRICALLY EXCITED SYSTEMS
• The world of the complex Ginzburg-Landau equation
• Dynamics of Perturbed Wavetrain Solutions to the Ginzburg-Landau Equation
• Instabilities of the Ginzburg-Landau equation: periodic solutions
• 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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