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Non-integrable soliton gas: The Schamel equation framework
Chaos, Solitons and Fractals. 2024. Vol. 180. Article 114495.
Translator: Pelinovsky E., Didenkulova E.
Soliton gas or soliton turbulence is a subject of intense studies due to its great importance to optics, hydrodynamics, electricity, chemistry, biology and plasma physics. Usually, this term is used for integrable models where solitons interact elastically. However, soliton turbulence can also be a part of non-integrable dynamics, where long-lasting solutions in the form of almost solitons may exist. In the present paper, the complex dynamics of ensembles of solitary waves is studied within the Schamel equation using direct numerical simulations. Some important statistical characteristics (distribution functions, moments, etc.) are calculated numerically for unipolar and bipolar soliton gases. Comparison of results with integrable Korteweg–de Vries (KdV) and modified KdV (mKdV) models are given qualitatively. Our results agree well with the predictions of the KdV equation in the case of unipolar solitons. However, in the bipolar case, we observed a notable departure from the mKdV model, particularly in the behavior of kurtosis. The observed increase in kurtosis signifies the amplification of distribution function tails, which, in turn, corresponds to the presence of high-amplitude waves.
Ari G., Liu X., Jiang L. et al., Ecological Indicators 2026 Vol. 191 Article 115592
Snow drought has become a research hotspot due to its widespread impacts on ecosystems and water resources, yet its effects on vegetation phenology remain relatively understudied. Focusing on the Mongolian Plateau, this study used the Snow Water Equivalent Index and the start of growing season (SOS) to assess the associations between snow drought and vegetation ...
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Goncharov A., Chibisov A., Advanced Theory and Simulations 2023 Vol. 12 No. 13 Article 2200816
Designing stable quantum computers with the ability to correct errors responsibly requires a detailed understanding of the physical processes that underlie these devices. In this study, detailed quantum mechanical simulations of the atomic structure, charge distribution of electron density, and distribution and orientation of magnetic and quantum states as a function of applied external pressure ...
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Chibisov A., Gnidenko A., Chibisova M. et al., FlatChem 2023 Vol. 41 Article 100533
Manufacturing precise quantum computers with small errors in quantum operations, long coherence times, and low power consumption is the most important challenge in modern nanoelectronics. To understand the operating modes of such calculators in detail, both the optimal arrangement of the qubit system within the structure and changes in its magnetic properties must be comprehensively ...
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Wu Z., Yu Y., Chibisov A., Materials Today Energy 2023 Vol. 37 Article 101414
The limited availability of lithium metal resources has led to the development of sodium/potassium-ion batteries due to the abundance and low cost of sodium/potassium. However, finding suitable cathode materials with high capacity, stable cycling performance, and efficient electrochemical interface is still challenging. Herein, the honeycomb layered structures of P2-type A2Ni2TeO6 (A = Na, K) have been explored ...
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Prokhorenko A., Chibisov A., Gnidenko A. et al., The Journal of Physical Chemistry Letters 2024 Vol. 15 No. 41 P. 10295–10300
The development of ultrathin magnets with tunable magnetic properties is essential for advancing quantum computing technologies. In this study, density functional theory (DFT) calculations were employed to investigate the atomic and electronic structures of a ZnO monolayer embedded with cobalt atoms. The impact of spin dynamics on charge transfer within the Co:ZnO system was thoroughly ...
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Chibisov A., Chibisova M., Modern Electronic Materials 2025 Vol. 71 P. 99–103
The problem of creating energy-efficient quantum computers capable of performing quantum operations without errors is a significant scientific challenge in modern nanoelectronics. This type of computer can be developed using quantum transistors that contain hole qubits and are capable of performing operations on them. Hole qubits are a promising technology for quantum computers due to ...
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Tyagi V., Srivastava A., Mangal A. et al., Surfaces and Interfaces 2025 Vol. 73 Article 107591
The present work reports the suitability of Functionalized graphene sheet as a sensing material for detecting the diabetes biomarker acetone from Exhaled breath. The adsorption of Acetone on Boron/Nitrogen doped graphene sheet has been investigated using the Density Functional theory (DFT). The interaction between acetone and the graphene surface has been investigated in terms of ...
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Bulakh S., Chibisov A., Srivastava A., Russian Microelectronics 2026 Vol. 55 P. 311–315
The effect of sulfur vacancies on the electronic structure of a molybdenum disulfide (MoS2) monolayer has been studied using density functional theory (DFT) methods implemented in the VASP software package. The ideal structure and systems with one and two sulfur vacancies and various options of defect localization in the MoS2 structure have been discussed. A ...
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Vangapandu E., Agrawal S., Kumar S. et al., Materials Science in Semiconductor Processing 2026 Vol. 211 Article 110752
Silicides are widely used as local interconnects in integrated circuits (ICs); thus, their nanostructures shall enjoy significant process compatibility with the IC technology. This work reports the utilization of Gold (Au), copper (Cu), and aluminium (Al)-based mono-silicide nanotubes (zig-zag (ZZ) and armchair (AC)) for nanoscale interconnect applications, through a material-device-circuit co-modelling approach. These nanotubes exhibit ...
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Ozhegov R., Махлуф М., Goltsman G. et al., Инженерная физика 2026 № 8 С. 27–39
This paper investigates the theoretical limits of object detection within isotropic scattering media using single-photon lidar. Within a simplified model, we derive the fundamental relationship between the maximum attainable detection range and the required photon count per pulse. Two distinct limiting regimes are analyzed: the ballistic photon regime, which maintains high spatial resolution but necessitates ...
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Didenkulova E., Chugunov V., Didenkulova I., Wave Motion 2026 Vol. 147 Article 103787
This work presents a new analytical solution of the shallow water theory for cylindrical propagation of long tsunami-like waves in the basin of variable depth. Considered model cases are related to tsunami wave propagation from an asteroid fallen into the sea, or from underwater volcanic eruptions. The corresponding bottom geometries represent radially symmetric obstacles such ...
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Flamarion M., Didenkulova E., Pelinovsky E., Physics Letters A 2026 Vol. 598 Article 132218
In this letter, bipolar solitary wave interactions in the Schamel equation are revisited numerically. Two simulation settings are considered: repeated collisions in a periodic domain, and the interaction of a positive solitary wave with a train of negative polarity solitary waves of equal amplitude. In the first case, when the amplitudes are comparable, the larger ...
Added: October 8, 2026
Isaev T. F., Шаров А. Н., Журнал вычислительной математики и математической физики 2026 Т. 66 № 1 С. 83–93
Исследуются свойства оптических покрытий на основе использования упрощенного симулятора ошибок в толщинах слоев покрытий при их напылении. Обосновывается возможность такого подхода. Выводятся аналитические оценки среднеквадратичного значения нормы вектора ошибок и степени коррелированности ошибок в толщинах слоев покрытия. Изучается зависимость среднеквадратичного значения нормы вектора ошибок и свойств покрытия от уровня случайных ошибок в слоях. ...
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Осипова А. М., Пилипенко С. В., Novikov D. I. et al., Physical Review D - Particles, Fields, Gravitation and Cosmology 2026 Vol. 114 Article 063522
We investigate the prospects for observing a specific spectral distortion of the cosmic microwave
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Gribova N. I., Osmanov S. V., Lyashko S. D. et al., Journal of Magnetism and Magnetic Materials 2025 No. 614 P. 1–8
Here we demonstrate nanometer thick iron garnet films with high specific Faraday rotation suitable for
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Faraday rotation of the ...
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Seleznev G., Fominov Yakov V., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 No. 7 Article 074505
Dirty superconducting films with magnetic impurities can exhibit nontrivial behavior in a magnetic field that
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the critical temperature Tc when magnetic-field pair breaking is weak, as realized for ...
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Colloidal semiconductor nanocrystals have emerged as promising materials for next-generation light-emitting diodes (LEDs) owing to their solution processability, tunable emission wavelengths, narrow emission linewidths, and high photoluminescence quantum yields. Among them, anisotropic nanocrystals, including one-dimensional nanorods (NRs) and two-dimensional nanoplatelets (NPLs), offer additional opportunities for controlling transition dipole moment orientation and light out-coupling efficiency. These ...
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Uglov T., Pakhlov P., Bodrov D. et al., Journal of High Energy Physics 2026 Vol. 04 Article 101
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Uglov T., Pakhlov P., Bodrov D. et al., Physical Review Letters 2026 Vol. D No. 113 Article L051102
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Added: October 2, 2026
Didenkulova E., Flamarion M., Pelinovsky E., Physica D: Nonlinear Phenomena 2025 Vol. 481 Article 134815
A comparison of the statistical characteristics of a rarefied soliton gas is carried out within the framework of integrable and non-integrable equations from the Korteweg-de Vries (KdV) hierarchy. As examples, multi-soliton solutions of the modified KdV equation, and the modular Schamel equation are considered. A common property of the dynamics of bipolar solitons is the ...
Added: March 11, 2026
Flamarion M., Pelinovsky E., Didenkulova E., Physica D: Nonlinear Phenomena 2026 Vol. 488 Article 135095
In this article, we investigate the evolution of long waves and the dynamics of wave packets governed by the
modular Schamel equation. We show that the wave field disintegrates into solitary waves of both polarities and
recurrence is not observed. Their interactions substantially amplify the wave field and, over long times and large
domains, can trigger the formation ...
Added: January 22, 2026
Schamel H., Pelinovsky E., Flamarion M., REVIEWS OF MODERN PLASMA PHYSICS 2025 Vol. 9 No. 1 Article 33
An overview of nonlinear electrostatic structures in a collisionless plasma is given,
as described by its three Schamel-type evolution equations. Separated in the phase
velocity, these equations are related to the three acoustic modes of a two-component
plasma, namely ion acoustic, the slow electron acoustic, and the slow ion acoustic
mode. In their derivation, a novel coupling method is ...
Added: December 7, 2025
Flamarion M. V., Pelinovsky E., Talipova T. G., Журнал Средневолжского математического общества 2025 Vol. 27 No. 2 P. 229–242
Analytical and numerical solutions of the damped Schamel equation, describing the dynamics of ion-acoustic waves in magnetized plasma, are presented. A small parameter is introduced in the equation before the dissipative term, ensuring that in its absence the solution reduces to a solitary wave (soliton). The asymptotic method employed for solving the equation is a ...
Added: June 27, 2025
Flamarion M. V., E. Pelinovsky, E. Didenkulova, Physics of Wave Phenomena 2025 Vol. 33 No. 1 P. 9–19
The present paper is devoted to the study of the dynamics of narrowband wave fields within the
nonintegrable Schamel equation, which plays an important role in plasma physics, wave dynamics in metamaterials,
and electrical circuits. A Monte Carlo approach is used to obtain a large number of random independent
realizations of the wave fields, allowing for an investigation ...
Added: March 23, 2025