title: Renormalization group theory for perturbed evolution equations.
abstract: We show that proto-RG (renormaliation group) theory can be used to give a systematic description of the evolution of soltion of perturbed equations. The equations describing the deformation of its shape as the effect of perturbation are proto-RG equations. The RG approach may be simpler than inverse scattering theory (IST) and another approaches, because it dose not rely on any knowledge of IST. It is very concise and easy to understand.
authors.affiliation: Laboratory of Quantum Communication and Quantum Computation, University of Science and Technology of China, Hefei 230026, People's Republic of China. tutao@mail.ustc.edu.cn
authors.forename: Tao
authors.initials: T
authors.lastname: Tu
authors.forename: G
authors.initials: G
authors.lastname: Cheng