43 citations · 106 across the 5 of their papers we have counts for
5 papers
Stability of the Bloch wall via the Bogomolnyi decomposition in elliptic coordinates
S R Woodford, I V Barashenkov
We consider the one-dimensional anisotropic XY model in the continuum limit. Stability analysis of its Bloch wall solution is hindered by the nondiagonality of the associated linea…
Interactions of Parametrically Driven Dark Solitons. II: Néel-Bloch interactions
I. V. Barashenkov, S. R. Woodford
The interaction between a Bloch and a Néel wall in the parametrically driven nonlinear Schrödinger equation is studied by following the dissociation of their unstable bound state.…
Interactions of Parametrically Driven Dark Solitons. I: Néel-Néel and Bloch-Bloch interactions
I. V. Barashenkov, S. R. Woodford, E. V. Zemlyanaya
We study interactions between the dark solitons of the parametrically driven nonlinear Schrödinger equation, Eq.(\ref{NLS}). When the driving strength, , is below $\sqrt{γ^2 +1/…
Complexes of stationary domain walls in the resonantly forced Ginsburg-Landau equation
I. V. Barashenkov, S. R. Woodford
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 sta…
Parametrically Driven Dark Solitons
I. V. Barashenkov, S. R. Woodford, E. V. Zemlyanaya
We show that unlike the bright solitons, the parametrically driven kinks are immune from instabilities for all dampings and forcing amplitudes; they can also form stable bound stat…