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arxiv: patt-sol/9905001 · v1 · submitted 1999-05-02 · patt-sol · nlin.PS

Lie-Group Approach to Perturbative Renormalization-Group Method

classification patt-sol nlin.PS
keywords equationsapproachlie-groupmethodperturbativeachievedasymptoticautonomous
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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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