4 citations · 6 across the 5 of their papers we have counts for
5 papers
Inclination of subspaces and decomposition of electromagnetic fields into potential and vortex components
Maria Goncharenko, Evgen Khruslov
Using the notion of inclination of two subspaces and of Hilbert space , we prove the theorem on the extension of linear continuous functionals defined on the s…
Creating and controlling band gaps in periodic media with small resonators
Andrii Khrabustovskyi, Evgen Khruslov
We investigate spectral properties of the Neumann Laplacian on a periodic unbounded domain depending on a small parameter .…
Nonlinear dynamics of solitons for the vector modified Korteweg-de Vries equation
Volodymyr Fenchenko, Evgenii Khruslov
We consider the vector generalization of the modified Korteweg-de Vries equation. We develop the inverse scattering transform for solving this equation. We construct the solitons a…
Gaps in the spectrum of the Neumann Laplacian generated by a system of periodically distributed trap
Andrii Khrabustovskyi, Evgeni Khruslov
The article deals with a convergence of the spectrum of the Neumann Laplacian in a periodic unbounded domain depending on a small parameter . The dom…
Soliton asymptotics of rear part of non-localized solutions of the Kadomtsev-Petviashvili equation
A. Boutet de Monvel, E. Khruslov, V. Kotlyarov
We construct non-localized, real global solutions of the Kadomtsev-Petviashvili-I equation which vanish for and study their large time asymptotic behavior. We prove t…