Электронная библиотека (репозиторий) Томского государственного университета
Trifonov, Andrey Yu.

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Source: Russian physics journal. 2021. Vol. 64, № 8. P. 1542-1552
Type: статьи в журналах
Date: 2021
Description: The general construction of the Cauchy problem solution for the one-dimensional nonlocal population Fisher– KPP equation is briefly described in terms of semiclassical asymptotics based on the complex ... More
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
Source: Symmetry. 2020. Vol. 12, № 2. P. 201 (1-25)
Type: статьи в журналах
Date: 2020
Description: We propose an approach to constructing semiclassical solutions for the generalized
Source: Russian physics journal. 2019. Vol. 62, № 4. P. 710-719
Type: статьи в журналах
Date: 2019
Description: The Adomian decomposition method is applied to construct an approximate solution of the generalized onedimensional Fisher Kolmogorov–Petrovsky–Piskunov equation describing the population dynamics with ... More
Source: Russian physics journal. 2019. Vol. 62, № 5. P. 835-847
Type: статьи в журналах
Date: 2019
Description: We consider an approach to constructing approximate analytical solutions for the one-dimensional twocomponent reaction diffusion model describing the dynamics of population interacting with the active ... More
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
Source: International journal of geometric methods in modern physics. 2018. Vol. 15, № 6. P. 1850102 (1-30)
Type: статьи в журналах
Date: 2018
Description: A semiclassical approximation approach based on the Maslov complex germ method is considered in detail for the one-dimensional nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov (Fisher–KPP) equation unde ... More
Source: Russian physics journal. 2017. Vol. 60, № 2. P. 284-291
Type: статьи в журналах
Date: 2017
Description: The one-dimensional Fokker–Planck–Kolmogorov equation with a special type of nonlocal quadratic nonlinearity is represented as a consistent system of differential equations, including a dynamical syst ... More
Source: Journal of physics A: Mathematical and theoretical. 2016. Vol. 49, № 30. P. 305203 (1-17)
Type: статьи в журналах
Date: 2016
Description: In this paper we construct asymptotic solutions for the nonlocal multidimensional Fisher–Kolmogorov–Petrovskii–Piskunov equation in the class of functions concentrated on a one-dimensional manifold (c ... More
Source: Journal of Physics: Conference Series. 2016. Vol. 670. P. 012046 (1-13)
Type: статьи в журналах
Date: 2016
Description: We consider an integro-differential 2-component multidimensional Gross-Pitaevskii equation with a Manakov-type cubic nonlocal nonlinearity. In the framework of the WKB-Maslov semiclassical formalism, ... More
Source: Russian physics journal. 2015. Vol. 58, № 3. P. 399-409
Type: статьи в журналах
Date: 2015
Description: Asymptotic solutions of the nonlocal, one-dimensional Fisher–Kolmogorov–Petrovskii–Piskunov equation with fractional derivatives in the diffusion operator are constructed. The fractional derivative is ... More
Source: Russian physics journal. 2015. Vol. 58, № 7. P. 952-958
Type: статьи в журналах
Date: 2015
Description: Asymptotic solutions of the multidimensional nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation with an influence function that is invariant with respect to a spatial shift are constructed. The a ... More
Source: Russian physics journal. 2015. Vol. 58, № 5. P. 606-615
Type: статьи в журналах
Date: 2015
Description: Semiclassical asymptotics of the two-dimensional nonlocal Gross–Pitaevskii equation are constructed. The dynamics of the initial state, being a superposition of two wave packets, is investigated. The ... More
Source: Symmetry, integrability and geometry: methods and applications. 2013. Vol. 9, № 066. P. 066 (1-21)
Type: статьи в журналах
Date: 2013
Source: Journal of mathematical analysis and applications. 2012. Vol. 395, № 2. P. 716-726
Type: статьи в журналах
Date: 2012
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