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Mixed turbulence of breathers and narrowband irregular waves: mKdV framework
Physica D: Nonlinear Phenomena. 2022. Vol. 432. Article 133130.
Breathers or oscillating wave packets, along with solitons, are the most energy-carrying waves in various physical media, i.e. surface and internal waves, optical networks, and Josephson junctions. Breathers largely determine the overall wave dynamics of wave fields. In this work, the dynamics of a set of breathers or the so-called breather turbulence or breather gas is studied in the framework of the modified Korteweg–de Vries equation with positive cubic nonlinearity. Different multi-interactions of breathers occurring in a breather gas are analyzed. Numerical simulation of mixed turbulence of breathers and irregular waves is performed. Two approaches are realized: the first corresponds to the comparison of dynamics of the mixed wave fields with a fixed breather component and irregular waves with different momentum. The second corresponds to the comparison of dynamics of the wave fields with the same momentum but with different wave components, including breathers or pure wave fields of irregular waves. The statistical properties of considered wave fields are studied and analyzed. The most extreme wave fields from the point of view of freak waves are identified.
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English
Publication based on the results of:
Avdoshin S.M., Patrushev K. A., Proceedings of the Institute for System Programming of the RAS 2026 No. 4 часть 2 P. 245–256
The cardinality-constrained Markowitz problem is NP-hard and traditionally solved with commercial MIQP solvers. Following the 2022 export restrictions that rendered both commercial MIQP software and cloud quantum platforms (IBM Quantum, D-Wave Leap) inaccessible from the Russian Federation, practitioners require open-source alternatives. This paper systematically compares three solver families for the discrete mean-variance problem: two open-source ...
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Zhukov A., Kryzhanovskaya N., Moiseev E. et al., Nature 2026 Vol. 656 P. 80–85
Reaching lasing in electrically pumped microdevices based on solution-processed
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excited single-crystal cavities2–4 and predesigned5,6 or postprocessed microstructures7,8
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Added: August 27, 2026
Тула: Тульский государственный педагогический университет им. Л.Н. Толстого, 2025.
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Eduard Sopin, Nazarin A., Begishev V. et al., IEEE Transactions on Vehicular Technology 2026 Vol. 75 No. 6 P. 10995–11007
Aimed at rate-greedy applications having extreme requirements for the data rate at the air interface, 5G New Radio (NR) systems may experience problems when the number of user equipment (UE) in the coverage of the cell increases due to limited capacity of the physical downlink control channel (PDCCH).The aim of this study is to explore ...
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Блудов М. В., Journal of Fixed Point Theory and Applications 2026 No. 28 Article 73
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Liudmila I. Kuzmina, Osipov, Y. V., International Journal for Computational Civil and Structural Engineering 2026 Vol. 22 No. 2 P. 138–148
Modeling the transport and sedimentation of small particles of suspensions and colloids in porous rocks is an important problem in subsurface hydromechanics. Particles entrained in fluid are transported and retained in the rock pores. The filtration process is determined by the number and size of pores and is characterized by porosity—the ratio of the void ...
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L.I.Kuzmina, Osipov Y. V., Mathematical notes, ISSN 0001-4346 2025 Vol. 116 No. 6 P. 1251–1261
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Shabanov N., Kuricheva O., Kurbatova J. et al., / Series Working Papers SSRN "Department of Economics Ca’ Foscari University of Venice". 2026.
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Mazur D., Brandyshev P., Doronin S. V. et al., Electrochimica Acta 2026 Vol. 577 Article 149729
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Chernov A., European Journal of Mathematics 2026 Vol. 12 Article 48
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IEEE Advancing Technology for Humanity, 2025.
Dynamics of Systems, Mechanisms and Machines (Dynamics) ...
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Gimaev R., Karpenkov A., Shelkovyi F. et al., Journal of Alloys and Compounds 2026 No. 1080 Article 190307
The magnetothermal properties of the quaternary Fe49Rh46.1Pd3.1Ir1.8 alloy are investigated by a combination of first-principles calculations, structural characterization, magnetometry, calorimetry, and direct measurements of the adiabatic temperature change. An exceptional magnetocaloric response is obtained, with ΔTad reaching −11.9 K in a field of 1.85 T under the discontinuous protocol and −8.6 K under the continuous ...
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Didenkulova E., Flamarion M., Pelinovsky E., Physica D: Nonlinear Phenomena 2025 Vol. 481 Article 134815
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Long-term measurements of bottom pressure variations obtained in 4 experimental campaigns near Sakhalin Island (Cape Svobodny) are analyzed. The statistical characteristics of 20-minute records of sea surface displacements reconstructed in the hydrostatic approximation, as well as individual wave parameters, such as wave height, period, and wave asymmetry, are studied. Records with similar meteorological conditions are sorted according to ...
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This article presents a study of bound periodically oscillating coherent structures arising on the free surface of deep water. Such structures resemble the well known bi-soliton solution of the nonlinear Schrödinger equation. The research was carried out in the super-compact Dyachenko-Zakharov equation model for unidirectional deep water waves and the full system of nonlinear equations ...
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Kachulin D., Dyachenko A., Dremov S., Fluids 2020 Vol. 5 No. 2 Article 65
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