Contents

Russian Journal of Mathematical Physics

Vol. 32, No. 4, 2025

Research Articles

Multi-Scaled Short-Wave Asymptotic Solution of the Cauchy Problem to One-Dimensional Wave Equation with Smoothed Jump of the Velocity

A.I. Allilueva and A.I. Shafarevich p. 615  abstract

Semilinear Elliptic Equations on Star Graph with Small Edges

M.N. Konyrkulzhayeva and D.I. Borisov p. 634  abstract

Solution of the Moving Front Type of the Autowave Diffusion Equation with a Discontinuous Source

E.A. Chunzhuk, Y. Liu, and N.T. Levashova p. 662  abstract

Numerical-Asymptotic Method for Determining Nonlinear Thermal Conductivity Coefficients and Heat Fluxes and Applications in the Assessing the Thermophysical Characteristics of High-Temperature Fuel Compositions and Alloys

M.A. Davydova, G.D. Rublev, and V.T. Volkov p. 677  abstract

Non-Compact Lagrangian Manifolds and Laguerre Polynomials in the Problem for the Hydrogen Atom

S.Yu. Dobrokhotov and A.V. Tsvetkova p. 698  abstract

Achieving a Travelling Wave in a Hyperbolic Equation

L.A. Kalyakin p. 704  abstract

Existence and Stability of Stationary Solutions with Boundary Layers in a Tikhonov-Type System Arising in the Drift-Diffusion Model of Semiconductors of Sub-Debye-Length

A.V. Karamyshev and E.I. Nikulin p. 713  abstract

On the Local Dynamics of an Equation with Two Large Proportional Delays

I.S. Kashchenko p. 728  abstract

On Large-Time Asymptotics of the Solution to a Certain System of Equations

M.O. Korpusov and A.A. Panin p. 745  abstract

Internal Transition Layer in Reaction-Diffusion System in Bounded Domains

K.A. Kotsubinsky, N.T. Levashova, and A.O. Orlov p. 755  abstract

The Aspe-Depassier Equation with a Nonlinear Source: Reduction, Painlevé test, First Integrals and General Solutions

N.A. Kudryashov p. 768  abstract

On the Coefficients of the Pearcey Function and Its Derivatives in a Representation of the Canonical Operator near a Cuspidal Caustic

V.E. Nazaikinskii p. 779  abstract

Asymptotics of the Solution of the Cauchy Problem for a Singularly Perturbed System of Oscillation Equations with a Weak Nonlinearity

A.V. Nesterov p. 785  abstract

Stabilization with Respect to the Parameter of the Nonlinearity Argument in a Singularly Perturbed Integro-Differential Problem

A.G. Nikitin, E.I. Nikulin, and V.T. Volkov p. 794  abstract

Development of Methods for Asymptotic Analysis of Moving Fronts for the Reaction-Diffusion-Advection Equations

A.O. Orlov and V.T. Volkov p. 803  abstract

Finite-Dimensional Continuous Quasirepresentations of Simple Adjoint Chevalley Groups over a Totally Disconnected Locally Compact Field

A.I. Shtern p. 818  abstract

Abel Integral Equation in the Reconstruction of the Helical Magnetic Field Structure by the Polarized Synchrotron Radiation of AGN Jet

D.D. Sokoloff and E.V. Yushkov p. 821  abstract

Solarity of Deutsch Boundedly Compact Sets

I.G. Tsar’kov p. 827  abstract

Erratum

Erratum to: “Short-Wave Asymptotic Solutions of the Wave Equation with Localized Velocity Perturbations Whose Wavelength is Not Comparable to the Scale of the Localized Inhomogeneity. One-Dimensional Case” [RJMP 32 (1), 1–10 (2025)]

A.I. Allilueva and A.I. Shafarevich p. 833  abstract

Erratum to: “Short-Wave Asymptotic Solutions of the Wave Equation with Localized Velocity Perturbations Whose Wavelength is Not Comparable to the Scale of the Localized Inhomogeneity.” [RJMP 32 (2), 228–238 (2025)]

A.I. Allilueva and A.I. Shafarevich p. 834  abstract