Corruption in the Name of “Democracy”: The USA and Russia in the 1990s

Article published in the Michigan State International Law Review

Acceleration of Plasmoids in Waveguides by a Superhigh-Frequency Wave

Acceleration of plasmoids in waveguides by superhigh-frequency electromagnetic wav

Exact BPS bound for noncommutative baby Skyrmions

The noncommutative baby Skyrme model is a Moyal deformation of the two-dimensional sigma model plus a Skyrme term, with a group-valued or Grassmannian target. Exact abelian solitonic solutions have been identified analytically in this model, with a singular commutative limit. Inside any given Grassmannian, we establish a BPS bound for the energy functional, which is saturated by these baby Skyrmions. This asserts their stability for unit charge, as we also test in second-order perturbation theory.Comment: 1+8 pages, no figure

A Lost War on Terror: Forgotten Lessons of the Russian Empire

Article published in the Michigan State International Law Review

Magnetosonic solitons in a dusty plasma slab

The existence of magnetosonic solitons in dusty plasmas is investigated. The nonlinear magnetohydrodynamic equations for a warm dusty magnetoplasma are thus derived. A solution of the nonlinear equations is presented. It is shown that, due to the presence of dust, static structures are allowed. This is in sharp contrast to the formation of the so called shocklets in usual magnetoplasmas. A comparatively small number of dust particles can thus drastically alter the behavior of the nonlinear structures in magnetized plasmas.Comment: 7 pages, 6 figure

Corruption in the Name of “Democracy”: The USA and Russia in the 1990s

Article published in the Michigan State International Law Review

Elementary Darboux transformations and factorization

A general theorem on factorization of matrices with polynomial entries is proven and it is used to reduce polynomial Darboux matrices to linear ones. Some new examples of linear Darboux matrices are discussed.Comment: 10 page