title: Localized finite-amplitude disturbances and selection of solitary waves
abstract: It turns out that evolution of localized finite-amplitude disturbances in perturbed KdV equation is qualitatively different compared with conventional small-amplitude initial conditions. Namely, relatively fast solitary waves, with one and the same amplitude and velocity, are formed ahead of conventional chaotic-like irregular structures. The amplitude and velocity of the waves, obtained from the asymptotic theory, are in excellent agreement with numerics.
authors.affiliation: Department of Engineering Sciences and Applied Mathematics, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208, USA.
authors.initials: IL
authors.lastname: Kliakhandler
authors.initials: AV
authors.lastname: Porubov
authors.initials: MG
authors.lastname: Velarde