246 citations · 1.5k across the 42 of their papers we have counts for
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nlin.PS2006
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.…
nlin.PS2006★ 30 cited
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/…
nlin.PS2006★ 66 cited
Moving solitons in the discrete nonlinear Schrödinger equation
O. F. Oxtoby, I. V. Barashenkov
Using the method of asymptotics beyond all orders, we evaluate the amplitude of radiation from a moving small-amplitude soliton in the discrete nonlinear Schrödinger equation. When…