2 citations · 2 across the 4 of their papers we have counts for
4 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…
Exceptional discretisations of the sine-Gordon equation
I. V. Barashenkov, T. C. van Heerden
Recently, the method of one-dimensional maps was introduced as a means of generating exceptional discretisations of the -theories, i.e., discrete -models which support ki…
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.…
Traveling solitons in the damped driven nonlinear Schrödinger equation
I. V. Barashenkov, E. V. Zemlyanaya
The well known effect of the linear damping on the moving nonlinear Schrödinger soliton (even when there is a supply of energy via the spatially homogeneous driving) is to quench i…