Derivation of Non-isotropic Phase Equations from a General Reaction-Diffusion Equation

Y. Masutomi; K. Nozaki

doi:10.1016/s0167-2789(00)00212-8

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arXiv · nlin/0009003

Derivation of Non-isotropic Phase Equations from a General Reaction-Diffusion Equation

Y. Masutomi·K. Nozaki

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Abstract

A non-isotropic version of phase equations such as the Burgers equation, the K-dV-Burgers equation, the Kuramoto-Sivashinsky equation and the Benney equation in the three-dimensional space is systematically derived from a general reaction-diffusion system by means of the renormalization group method.

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Y. Masutomi, K. Nozaki. 2000-09-01. Derivation of Non-isotropic Phase Equations from a General Reaction-Diffusion Equation. https://doi.org/10.1016/s0167-2789(00)00212-8

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