Nearly real fronts in a Ginzburg–Landau equation

DOI10.1017/S0308210500031474zbMath0708.76064OpenAlexW2170306397MaRDI QIDQ3491219

James A. Powell, Todd Kapitula, Christopher K. R. T. Jones

Publication date: 1990

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500031474

zbMATH Keywords

unstable manifoldcomplex Ginzburg-Landau equationamplitude solutionsinvariant zero-wavenumber manifoldSubcritical frontssubcritical pitchforksupercritical saddle-node bifurcation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Nonlinear effects in hydrodynamic stability (76E30)

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Cites Work

• Dynamical properties of propagating front solutions of the amplitude equation
• Benjamin-Feir turbulence in convective binary fluid mixtures
• Slowly varying fully nonlinear wavetrains in the Ginzburg-Landau equation
• Solutions of the Ginzburg-Landau Equation of Interest in Shear Flow Transition
• Plane Wave Solutions to Reaction-Diffusion Equations
• Slowly Varying Waves and Shock Structures in Reaction-Diffusion Equations

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