I. Barashenkov

activity

20032008

most citedTraveling solitons in the damped driven nonlinear Schrödinger equation

2 citations · 2 across the 4 of their papers we have counts for

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Showing 2008Show all

2 papers · 1 filter

nlin.PS2008

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…

nlin.PS2008

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 $ϕ^{4}$ -theories, i.e., discrete $ϕ^{4}$ -models which support ki…