Derivation of Amplitude Equations by Renormalization Group Method

Details Derivation of Amplitude Equations by Renormalization Group Method Derivation of Amplitude Equations by Renormalization Group Method

1997-03-10

arxiv.org/abs/patt-sol/9703004v1

Nonlinear Sciences

Pattern Formation and Solitons

6 page, revtex

Scientific paper

10.1103/PhysRevE.56.R4926

A proper formulation in the perturbative renormalization group method is
presented to deduce amplitude equations. The formulation makes it possible not
only avoiding a serious difficulty in the previous reduction to amplitude
equations by eliminating all of the secular terms but also consistent
derivation of higher-order correction to amplitude equations.

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