Research Output per year

## Fingerprint Dive into the research topics where Aleksandr Vasilievich Shapovalov is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

- 2 Similar Profiles

operators
Physics & Astronomy

Dirac equation
Physics & Astronomy

symmetry
Physics & Astronomy

algebra
Physics & Astronomy

Klein-Gordon equation
Physics & Astronomy

solitary waves
Physics & Astronomy

nonlinear equations
Physics & Astronomy

nonlinearity
Physics & Astronomy

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Research Output 1974 2019

## Approximate solutions and symmetry of a two-component nonlocal reaction-diffusion population model of the Fisher-KPP type

Shapovalov, A. V. & Trifonov, A. Y., 1 Mar 2019, In : Symmetry. 11, 3, 366.Research output: Contribution to journal › Article

Open Access

Reaction-diffusion Model

Population Model

Approximate Solution

Symmetry

Population dynamics

## Vacuum quantum effects on Lie groups with bi-invariant metrics

Breev, A. I. & Shapovalov, A. V., 1 Jan 2019, In : International Journal of Geometric Methods in Modern Physics.Research output: Contribution to journal › Article

scalars

vacuum

kinetic energy

tensors

polarization

3
Citations
(Scopus)

## An application of the Maslov complex germ method to the one-dimensional nonlocal Fisher–KPP equation

Shapovalov, A. V. & Trifonov, A. Y., 28 Feb 2018, (Accepted/In press) In : International Journal of Geometric Methods in Modern Physics. 15, 6, 1850102.Research output: Contribution to journal › Article

linear equations

nonlinear equations

partial differential equations

formalism

intervals

## Approximate Solutions of the One-Dimensional Fisher–Kolmogorov–Petrovskii– Piskunov Equation with Quasilocal Competitive Losses

Shapovalov, A. V., 1 Jan 2018, In : Russian Physics Journal. 60, 9, p. 1461-1468 8 p.Research output: Contribution to journal › Article

asymptotic series

elliptic functions

differential equations

diffusion coefficient

perturbation

1
Citation
(Scopus)

## Influence of the Environment on Pattern Formation in the One-Dimensional Nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov Model

Shapovalov, A. V. & Obukhov, V. V., 1 Oct 2018, In : Russian Physics Journal. 61, 6, p. 1093-1099 7 p.Research output: Contribution to journal › Article

allowances

interactions

## Activities 2014 2014

- 1 Editorial activity

## Russian Physics Journal (Journal)

Victor Evgenievich Panin (Reviewer), Nikolay Alexadrovich Ratakhin (Reviewer), Vladimir Vasilevich Uglov (Reviewer), Sergey Grigorievich Psakhie (Reviewer), Vasiliy Yakolevich Ushakov (Reviewer), Aleksandr Vasilievich Shapovalov (Reviewer), Anatoly Petrovich Surzhikov (Reviewer)2014 → …

Activity: Publication peer-review and editorial work types › Editorial activity