On the localized wave patterns supported by convection-reaction-diffusion equation

On the localized wave patterns supported by convection-reaction-diffusion equation

A set of travelling wave solutions to convection-reaction-diffusion equation is studied by means of methods of local nonlinear analysis and numerical simulation. The occurrence is shown of the compactly supported solutions, shock fronts, and solitary waves for wide range of parameter values.

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Veröffentlicht in:Reports on mathematical physics 2010-04, Vol.65 (2), p.141-156
Hauptverfasser: Vladimirov, V.A., Mączka, Cz
Format: Artikel
Sprache:eng
Schlagworte:
Andronov-Hopf bifurcation
compactons
Computer simulation
convection-reaction-diffusion equation
dynamical system
homoclinic bifurcation
Mathematical analysis
Mathematical models
Nonlinearity
Shock fronts
Solitary waves
symmetry reduction
Traveling waves
travelling waves
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Zusammenfassung:A set of travelling wave solutions to convection-reaction-diffusion equation is studied by means of methods of local nonlinear analysis and numerical simulation. The occurrence is shown of the compactly supported solutions, shock fronts, and solitary waves for wide range of parameter values.
ISSN:0034-4877
1879-0674
DOI:10.1016/S0034-4877(10)00012-1