Issues 3-4

K.M. Zuev 1, N.A. Kudryashov 2Department ≪Applied Mathematics≫, Institute of Laser and Plasma Technologies, National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), RU-115409 Moscow, Russia Abstract: In this paper it is investigated the generalized Vakhnenko-Parkes equation describing the propagation of short-wavelength disturbances in relaxing media with amplitude-dependent wave velocity. As the Cauchy problem for […]

Jesus E. Garcıa 1, V.A. Gonzalez-Lopez 2, D.S. Santos 3Department of Statistics, Institute of Mathematics, Statistics and Scientific Computing, University of Campinas, Sergio Buarque de Holanda, 651, Campinas, S.P., CEP: 13083-859, Brazil Abstract: In this paper, we investigate recently developed proximity measures within the framework of discrete-time Markov processes on discrete state spaces to assess,

A. Alrudhan and G. Bognár 1Institute of Machine and Product Design, Faculty of Mechanical Engineering and Informatics, University of Miskolc, 3515-Egyetemváros, Miskolc, HungaryReceived 7 August, 2025; accepted in revised form 31 October, 2025 Abstract: A computational fluid dynamics investigation of porous metal foam fully filling a horizontal pipe was conducted to optimize the balance between

Daniil R. Nifontov1, Olga A. Fuga, Nikolay A. KudryashovDepartment of Applied Mathematics National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 31 Kashirskoe Shosse, 115409 Moscow, Russian FederationReceived 8 August, 2025; accepted in revised form 14 August 2026 Abstract: The generalized Hasegawa-Kodama equation is considered. This equation is used to describe the propagation of pulses

E.A. Zhukova 1, A.A. Kutukov, N.A. KudryashovDepartment of Applied Mathematics and Computer Science, Institute of Laser and Plasma Technologies, National Research Nuclear University ”Moscow Engineering Physics Institute”, 115409, Moscow, RussiaReceived 01 August 2025; accepted in revised form 05 September 2025 Abstract: The hierarchy of Burgers equations is considered. Using self-similar variables the hierarchy of ordinary

Wekesa.W. Simon, K. Hriczó 1Department of Analysis, Institute of Mathematics, Faculty of Mechanical Engineering and Informatics, University of Miskolc, 3515 Miskolc, Hungary.Received 7 August, 2025; accepted in revised form 31 October, 2025 Abstract:Modern industrial applications demand robust numerical methods capable of handling large-scale, nonlinear, and diverse mathematical models. This study investigates magnetohydrodynamic entropy generation associated