K. Matsuba et K. Nozaki, DERIVATION OF AMPLITUDE EQUATIONS BY THE RENORMALIZATION-GROUP METHOD, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(5), 1997, pp. 4926-4927
A proper formulation in the perturbative renormalization group method
is presented to deduce amplitude equations. The formulation makes it p
ossible not only to avoid a serious difficulty in the previous reducti
on lo amplitude equations by eliminating all of the secular terms but
also to derive consistently higher-order correction to amplitude equat
ions.