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Source: Symmetry. 2023. Vol. 15, № 4. P. 905 (1-16)
Type: статьи в журналах
Date: 2023
Description:
Discrete kinetic equations describing binary processes of agglomeration and fragmentation are considered using formal equivalence between the kinetic equations and the geodesic equations of some affin
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Source: Russian physics journal. 2022. Vol. 65, № 4. P. 663-670
Type: статьи в журналах
Date: 2022
Description:
The paper considers a kinetic model of a single-stage process, which is an element of a multi-stage process for producing titanium dioxide. The effect of external influences and the problem of optimiz
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Source: Russian physics journal. 2022. Vol. 65, № 2. P. 197-207
Type: статьи в журналах
Date: 2022
Description:
The concept of the fractal approach is discussed in relation to the description of some properties of dilute aqueous solutions and suspensions of low concentrations. The role of weakly interacting obj
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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
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Source: Universe. 2022. Vol. 8, № 9. P. 445 (1-13)
Type: статьи в журналах
Date: 2022
Description:
We propose a new approach that allows one to reduce nonlinear equations on Lie groups to equations with a fewer number of independent variables for finding particular solutions of the nonlinear equati
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Source: Russian physics journal. 2022. Vol. 65, № 4. P. 695-702
Type: статьи в журналах
Date: 2022
Description:
Nonlocal versions of the reaction-diffusion type population equations can describe the evolution of spatiotemporal structures (patterns) depending on the equation parameter domain. Under conditions of
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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
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Source: Russian physics journal. 2021. Vol. 64, № 4. P. 704-716
Type: статьи в журналах
Date: 2021
Description:
Based on the group analysis of differential equations, we consider the symmetry properties of equations with fractal derivatives defined within the framework of Fα-calculus. Analogs of the prolongatio
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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
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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
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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
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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
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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
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Source: International journal of geometric methods in modern physics. 2019. Vol. 16, № 8. P. 1950122 (1-28)
Type: статьи в журналах
Date: 2019
Description:
We consider the effects of vacuum polarization and particle creation of a scalar field on Lie groups with a non-stationary bi-invariant metric of the Robertson–Walker type. The vacuum expectation valu
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