LOCALIZED PATTERNS FOR THE QUINTIC COMPLEX SWIFT-HOHENBERG EQUATION

We show using numerical simulations that a variety of localized patter ns arise in a model equation: the quintic Swift-Hohenbeg equation with complex coefficients. We demonstrate that various sizes of localized standing wave patterns are possible when the imaginary part of the com plex coefficient is small. Localized traveling waves as well as locali zed standing waves with a fixed size are observed when the imaginary p art is rather large. We also present stable localized patterns in two spatial dimensions and study their interaction. Copyright (C) 1998 Els evier Science B.V.