Numerical simulations of periodic travelling waves to a generalized Ginzburg-Landau equation

DOI10.1016/j.amc.2004.04.048zbMath1177.65163OpenAlexW2071714522MaRDI QIDQ1780487

Yanbin Tang

Publication date: 13 June 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2004.04.048

zbMATH Keywords

Hopf bifurcationGinzburg-Landau equationPeriodic travelling wave solutions

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (5)

BIFURCATION AND STABILITY OF MARTENSITIC TRANSFORMATION DYNAMICS ⋮ Application of bifurcation method and rational sine-Gordon expansion method for solving 2D complex Ginzburg–Landau equation ⋮ Blow-up profile for the complex Ginzburg-Landau equation ⋮ Bifurcation to traveling waves in the cubic–quintic complex Ginzburg–Landau equation ⋮ Convergence analysis of a linearized Crank-Nicolson scheme for the two-dimensional complex Ginzburg-Landau equation

Cites Work

• Global existence of solutions to the derivative 2D Ginzburg-Landau equation
• The Hopf bifurcation and spiral wave solution of the complex Ginzburg-Landau equation
• Global existence theory for a generalized Ginzburg-Landau equation
• Regularity, approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation
• On the cauchy problem of a generalized ginzburg–landau equation

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