Renormalization Group Method and Reductive Perturbation Method

Abstract

It is shown that the renormalization group method does not necessarily eliminate all secular terms in perturbation series to partial differential equations and a functional subspace of renormalizable secular solutions corresponds to a choice of scales of independent variables in the reductive perturbation method.

5 pages, latex

References in corpus (4)

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• Renormalization Group Theory for Global Asymptotic Analysis
• Systematic derivation of a rotationally covariant extension of the 2-dimensional Newell-Whitehead-Segel equation
• Nonlinear Modulation of Travelling Rolls in Magnetoconvection