On the transition from the Ginzburg-Landau equation to the extended Fisher-Kolmogorov equation

DOI10.1016/S0167-2789(98)00035-9zbMath1194.76055OpenAlexW2120415060WikidataQ127570261 ScholiaQ127570261MaRDI QIDQ992194

Vivi Rottschäfer, Arjen Doelman

Publication date: 11 September 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)00035-9

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items

Analysis and instabilities of travelling waves solutions for a free boundary problem with non-homogeneous KPP reaction, with degenerate diffusion and with non-linear advection, Universal selection of pulled fronts, Spectral stability of the critical front in the extended Fisher-KPP equation, Unnamed Item, Front propagation into unstable states, Oscillatory solutions and smoothing of a higher-order p-Laplacian operator, Existence, uniqueness and positivity on a free-boundary high order diffusion cooperative system, Existence and stability of traveling fronts in the extended Fisher-Kolmogorov equation., Exponential asymptotics of localised patterns and snaking bifurcation diagrams, Analysis of selfsimilar solutions and a comparison principle for an heterogeneous diffusion cooperative system with advection and non-linear reaction, Asymptotic Stability of Critical Pulled Fronts via Resolvent Expansions Near the Essential Spectrum, Diffusive approximation of Fisher's equation, Traveling waves solutions for a cooperative system with nonlinear advection and nonlinear KPP term

Uses Software

• Algorithm 731
• CWRESU
• CWRESX

Cites Work

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• Algorithm 731: A moving-grid interface for systems of one-dimensional time-dependent partial differential equations
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• The chemical basis of morphogenesis
• Finite bandwidth, finite amplitude convection
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