title: Stability of localized structures in the Swift-Hohenberg equation.
abstract: We show that nonmonotonic (oscillatory) decay of the boundaries of phase domains is crucial for the stability of localized structures in systems described by Swift-Hohenberg equation. The less damped (more oscillatory) are the boundaries, the larger are the existence ranges of the localized structures. For very weakly damped spatial oscillations, higher-order localized structures are possible.
authors.affiliation: Departament d'Optica, Universitat de València, Dr. Moliner 50, E-46100 Burjassot, Spain.
authors.forename: V J
authors.initials: VJ
authors.lastname: Sánchez-Morcillo
authors.forename: K
authors.initials: K
authors.lastname: Staliunas