8 citations · 24 across the 7 of their papers we have counts for
7 papers
Semiclassical states localized on a one-dimensional manifold and governed by the nonlocal NLSE with an anti-Hermitian term
Anton E. Kulagin, Alexander V. Shapovalov
We develop the method for constructing solutions to the nonlocal nonlinear Schrödinger equation (NLSE) with an anti-Hermitian term that are semiclassically localized on a one-dimen…
Quasiparticle solutions for the nonlocal NLSE with an anti-Hermitian term in semiclassical approximation
Anton E. Kulagin, Alexander V. Shapovalov
We deal with the -dimensional nonlinear Schrödinger equation (NLSE) with a cubic nonlocal nonlinearity and an anti-Hermitian term, which is widely used model for the study of op…
Quasiparticles for the one-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation
A. E. Kulagin, A. V. Shapovalov
We construct quasiparticles-like solutions to the one-dimensional Fisher-Kolmogorov-Petrovskii-Piskunov (FKPP) with a nonlocal nonlinearity using the method of semiclassically conc…
Semiclassical approach to the nonlocal nonlinear Schrödinger equation with a non-Hermitian term
A. E. Kulagin, A. V. Shapovalov
The nonlinear Schödinger equation (NLSE) with a non-Hermitian term is the model for various phenomena in nonlinear open quantum systems. We deal with the Cauchy problem for the non…
Analytical description of the diffusion in a cellular automaton with the Margolus neighbourhood in terms of the two-dimensional Markov chain
Anton Kulagin, Alexander Shapovalov
The one-parameter two-dimensional cellular automaton with the Margolus neighbourhood is analyzed based on the considering the projection of the stochastic movements of a single par…
Family of asymptotic solutions to the two-dimensional kinetic equation with a nonlocal cubic nonlinearity
Alexander V. Shapovalov, Anton E. Kulagin, Sergei A. Siniukov
We apply the original semiclassical approach to the kinetic ionization equation with the nonlocal cubic nonlinearity in order to construct the family of its asymptotic solutions. T…
Semiclassical approach to the nonlocal kinetic model of metal vapor active media
Alexander V. Shapovalov, Anton E. Kulagin
A semiclassical approach based on the WKB-Maslov method is developed for the kinetic ionization equation in dense plasma with approximations characteristic of metal vapor active me…