Asymptotic spatial patterns on the complex time-dependent Ginzburg-Landau equation

DOI10.1088/0305-4470/19/17/003zbMath0623.35068OpenAlexW2041437549MaRDI QIDQ3761001

Kanemitsu Katou

Publication date: 1986

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/19/17/003

zbMATH Keywords

stabilityexistencenonlinear Schrödinger equationcomplex coefficientsGinzburg-Landau equationswavefront solutionJacobi's elliptic functionamplitude oscillationAsymptotic spatial patternsforce-free Duffing equationspatial limit cycleunique propagation velocity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (7)

Explicit and implicit solutions for the one-dimensional cubic and quintic complex Ginzburg-Landau equations ⋮ A class of generalized Ginzburg-Landau equations with random switching ⋮ On a backward problem for multidimensional Ginzburg–Landau equation with random data ⋮ Ginzburg-Landau equations with random switching and impulsive perturbations ⋮ Continuous dependence on modelling and non-existence results for a Ginzburg-Landau equation ⋮ Stability properties of implicit–explicit multistep methods for a class of nonlinear parabolic equations ⋮ The backward problem for Ginzburg-Landau-type equation

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