Computing interacting multi-fronts in one dimensional real Ginzburg Landau equations

DOI10.1007/s10915-014-9917-yzbMath1319.65092OpenAlexW2113842862MaRDI QIDQ2355486

Tasos Rossides, Serguei Zelik, David J. B. Lloyd

Publication date: 23 July 2015

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: http://epubs.surrey.ac.uk/807867/1/SRI_deposit_agreement.pdf

zbMATH Keywords

numerical examplesmethod of linesprojection methodtravelling frontsreal Ginzburg-Landau equationcolliding frontscomputing localised statesfronts interactionglobal centre-manifold reductionmulti-fronts

Mathematics Subject Classification ID

Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Ginzburg-Landau equations (35Q56)

Related Items (2)

Weak and strong interaction of excitation kinks in scalar parabolic equations ⋮ The Dynamics of Interacting Multi-pulses in the One-dimensional Quintic Complex Ginzburg–Landau Equation

Uses Software

• Matlab
• AUTO-07P
• UNCMND
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• pchip
• MATLAB ODE suite

Cites Work

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• The motion of weakly interacting pulses in reaction-diffusion systems

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