6 citations · 6 across the 2 of their papers we have counts for
2 papers
math-ph2025
Quasiparticle solutions to the 1D nonlocal Fisher--KPP equation with a fractal time derivative in the weak diffusion approximation
A. V. Shapovalov, S. A. Siniukov
In this paper, we propose an approach for constructing quasiparticle-like asymptotic solutions within the weak diffusion approximation for the generalized population Fisher--Kolmog…
math-ph2022★ 6 cited
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…