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Derivation of non-isotropic phase equations from a general reaction-diffusion equation - MaRDI portal

Derivation of non-isotropic phase equations from a general reaction-diffusion equation (Q5937261)

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scientific article; zbMATH DE number 1618743
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Derivation of non-isotropic phase equations from a general reaction-diffusion equation
scientific article; zbMATH DE number 1618743

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    Derivation of non-isotropic phase equations from a general reaction-diffusion equation (English)
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    9 April 2002
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    Starting with a general reaction-diffusion system, the authors derive a systematic way for the solution of non-isotropic versions of the following phase equations: the Burgers equation, the KdV-Burgers equation, the Kuramoto-Sivashinski equations and the Benney equation in three spatial dimensions. With this aim, they employ the renormalization group method.
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    Kuramoto-Sivashinski equation
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    Burgers equation
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    renormalization group
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    KdV-Burgers equation
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    Benney equation
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