Lie-Group Approach to Perturbative Renormalization-Group Method

Details Lie-Group Approach to Perturbative Renormalization-Group Method Lie-Group Approach to Perturbative Renormalization-Group Method

1999-05-02

arxiv.org/abs/patt-sol/9905001v1

Nonlinear Sciences

Pattern Formation and Solitons

32pages, 2figures

Scientific paper

10.1143/PTP.102.471

The Lie-group approach to the perturbative renormalization group (RG) method
is developed to obtain an asymptotic solutions of both autonomous and
non-autonomous ordinary differential equations. Reduction of some partial
differetial equations to typical RG equations is also achieved by this approach
and a simple recipe for providing RG equations is presented.

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