Complexes of stationary domain walls in the resonantly forced Ginsburg-Landau equation

Abstract

The parametrically driven Ginsburg-Landau equation has well-known stationary solutions -- the so-called Bloch and Neel, or Ising, walls. In this paper, we construct an explicit stationary solution describing a bound state of two walls. We also demonstrate that stationary complexes of more than two walls do not exist.

10 pages, 2 figures, to appear in Physical Review E

References in corpus (3)

• Stable droplets and growth laws close to the modulational instability of a domain wall
• Parametrically Driven Dark Solitons
• Frequency Locking in Spatially Extended Systems

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