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

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

2004-12-20

arxiv.org/abs/nlin/0412048v1

Nonlinear Sciences

Pattern Formation and Solitons

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

Scientific paper

10.1103/PhysRevE.71.026613

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.

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