Renormalization Group Method and Reductive Perturbation Method

Details Renormalization Group Method and Reductive Perturbation Method Renormalization Group Method and Reductive Perturbation Method

1997-02-02

arxiv.org/abs/patt-sol/9702001v1

Nonlinear Sciences

Pattern Formation and Solitons

5 pages, latex

Scientific paper

10.1143/JPSJ.66.3315

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.

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