The complex cubic--quintic Ginzburg--Landau equation: Hopf bifurcations yielding traveling waves
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Publication:875325
DOI10.1016/j.matcom.2006.10.022zbMath1111.35081OpenAlexW1996860648MaRDI QIDQ875325
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.2006.10.022
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Cites Work
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- Slow time-periodic solutions of the Ginzburg-Landau equation
- Bifurcations from stationary to pulsating solitons in the cubic-quintic complex 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
- Solutions of the Ginzburg-Landau Equation of Interest in Shear Flow Transition
- The world of the complex Ginzburg-Landau equation
- Periodic and Steady-State Mode Interactions Lead to Tori
- Dynamics of Perturbed Wavetrain Solutions to the Ginzburg-Landau Equation
- 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
- LECTURES ON BIFURCATIONS IN VERSAL FAMILIES
- Modulated amplitude waves and defect formation in the one-dimensional complex Ginzburg-Landau equation
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