A Method to Construct Asymptotic Solutions Invariant under the Renormalization Group

Abstract

A renormalization group method with the Lie symmetry is presented for the singular perturbation problems. Asymptotic solutions are obtained as group-invariant solutions under approximate Lie group admitted by perturbed differential equations.

9 pages, 1 figure

Cited by in corpus (2)

• Renormalization group in difference systems
• Solution of reduced equations derived with singular perturbation methods