8 citations · 34 across the 8 of their papers we have counts for
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nlin.SI2011★ 3 cited
Toda-Heisenberg chain: interacting sigma-fields in two dimensions
G. M. Pritula, V. E. Vekslerchik
We study a (2+1)-dimensional system that can be viewed as an infinite number of O(3) sigma-fields coupled by a nearest-neighbour Heisenberg-like interaction. We reduce the field eq…
nlin.SI2003★ 8 cited
Negative Volterra flows
G. M. Pritula, V. E. Vekslerchik
Taking the standard zero curvature approach we derive an infinite set of integrable equations, which taken together form the negative Volterra hierarchy. The resulting equations tu…
nlin.SI2000★ 7 cited
Stationary structures in two-dimensional continuous Heisenberg ferromagnetic spin system
G. M. Pritula, V. E. Vekslerchik
Stationary structures in a classical isotropic two-dimensional continuous Heisenberg ferromagnetic spin system are studied in the framework of the (2+1)-dimensional Landau-Lifshitz…