Электронная библиотека (репозиторий) Томского государственного университета
квазиклассическое приближение | Shapovalov, Alexander V.

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Add   Family of asymptotic solutions to the two-dimensional kinetic equation with a nonlocal cubic nonlinearity
Authors: Shapovalov, Alexander V. | Kulagin, Anton E. | Siniukov, Sergei A.
Source: Symmetry. 2022. Vo. 14, № 3. P. 577 (1-20)
Type: статьи в журналах
Date: 2022
Description: 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. The approach proposed ... More
Add   Semiclassical approach to the nonlocal kinetic model of metal vapor active media
Authors: Shapovalov, Alexander V. | Kulagin, Anton E.
Source: Mathematics. 2021. Vol. 9, № 23. P. 2995 (1-16)
Type: статьи в журналах
Date: 2021
Description: 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 media excited by a con ... More
Add   Semiclassical spectral series localized on a curve for the Gross-Pitaevskii equation with a nonlocal interaction
Authors: Kulagin, Anton E. | Shapovalov, Alexander V. | Trifonov, Andrey Yu.
Source: Symmetry. 2021. Vol. 132, № 7. P. 1289 (1-22)
Type: статьи в журналах
Date: 2021
Description: We propose the approach to constructing semiclassical spectral series for the generalized multidimensional stationary Gross–Pitaevskii equation with a nonlocal interaction term. The eigenvalues and ei ... More
Add   Approximate solutions and symmetry of a two-component nonlocal reaction-diffusion population model of the Fisher-KPP type
Authors: Shapovalov, Alexander V. | Trifonov, Andrey Yu.
Source: Symmetry. 2019. Vol. 11, № 3. P. 366 (1-19)
Type: статьи в журналах
Date: 2019
Description: We propose an approximate analytical approach to a (1+1) dimensional two-component system consisting of a nonlocal generalization of the well-known Fisher–Kolmogorov–Petrovskii– Piskunov (KPP) populat ... More
Add   Symmetries of the Fisher-Kolmogorov-Petrovskii-Piskunov equation with a nonlocal nonlinearity in a semiclassical approximation
Authors: Levchenko, E. A. | Shapovalov, Alexander V. | Trifonov, Andrey Yu.
Source: Journal of mathematical analysis and applications. 2012. Vol. 395, № 2. P. 716-726
Type: статьи в журналах
Date: 2012
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