Stability of localized structures in the Swift-Hohenberg equation.
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.
Sánchez-Morcillo
V J
VJ
Departament d'Optica, Universitat de València, Dr. Moliner 50, E-46100 Burjassot, Spain.
Staliunas
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