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Soliton Turbulence in Approximate and Exact Models for Deep Water Waves
Fluids. 2020. Vol. 5. No. 2. Article 67.
Kachulin D., Dyachenko A., Zakharov V.
We investigate and compare soliton turbulence appearing as a result of modulational
instability of the homogeneous wave train in three nonlinear models for surface gravity waves:
the nonlinear Schrödinger equation, the super compact Zakharov equation, and the fully nonlinear
equations written in conformal variables. We show that even at a low level of energy and average
wave steepness, the wave dynamics in the nonlinear Schrödinger equation fundamentally differ from
the dynamics in more accurate models. We study energy losses of wind waves due to their breaking
for large values of total energy in the super compact Zakharov equation and in the exact equations
and show that in both models, the wave system loses 50% of energy very slowly, during few days.
Dmitriev A., Kornilov V., Batienkov R., Lecture Notes in Civil Engineering 2026 Vol. 886 P. 249–255
Numerous studies have provided compelling evidence that the probability distribution of avalanche sizes follows a power law, and that 1/f noise is present in the stochastic dynamics of landslides. We present a theoretical explanation of these phenomena within the framework of self-organized criticality theory, proposing a discrete-time model in the form of a sandpile cellular ...
Added: October 13, 2026
Dmitriev A., Shulman I., Lebedev A., Studies in Computational Intelligence 2026 Vol. 1265 P. 266–273
A discrete-time model is presented for the self-organization of the X/Twitter social network to the edge of a phase transition, characterized by avalanche-like propagation of information in the network. The model is based on the analogy between the critical dynamics of the X social network and sandpile cellular automata with Manna rule on the Chung-Lu ...
Added: October 13, 2026
Arutyunov K., Kharitonov I. A., Petrosyants K. O., JETP Letters 2026 Vol. 124 No. 6 P. 1–16
Superconducting properties of metallic micro- and nanowires can be entirely different from those of bulk superconductors. Of particular interest is the nonequilibrium current-induced state of a quasi-one-dimensional superconducting channel. The most interesting phenomenon here is the stepped I–V characteristic, explained by a process known as phase slip center activation. If the origin of such step-like ...
Added: October 13, 2026
Makarov D. M., Kalikin N., Fashchevsky K. A. et al., Electrochimica Acta 2026 Vol. 579 Article 150159
Machine learning (ML) has become a powerful tool for accelerating the development of carbon-based supercapacitors;
however, most published models assume that a single predictive framework can describe both conventional
porous carbons and hybrid carbon electrodes. Here, we test this assumption using a comprehensive
benchmark dataset and an extended literature-curated dataset enriched with synthesis- and electrolyte-related
descriptors. Three ML algorithms ...
Added: October 13, 2026
Батова О. Н., Савинецкая Л. Е., Проявка С. В. et al., Nature Conservation Research. Заповедная наука 2026 Т. 11 № 4 С. 25–39
Spermophilus suslicus is a threatened species listed in Red Data Books at all levels (from regional Red Data
Books to the IUCN Red List of Threatened Species), and it currently requires special conservation activity.
Over the past 30–50 years, its range has changed from continuous to mosaic, and its population has declined
everywhere. In 2015, in Russia experimental ...
Added: October 13, 2026
Махлуф М., Ozhegov R., Elezov M. et al., Фотоника 2026 Vol. 20 No. 6 P. 414–423
This paper compares the ranging precision of direct time-of-flight (dToF) and non-line-of-sight (NLOS) LiDAR architectures, both using a superconducting nanowire single-photon detector (SNSPD). Both systems operate at 1550 nm with a 50 ps pulsed laser and time-correlated single-photon counting (TCSPC). The dToF configuration achieved approximately 100 µm precision at 10 m, while the NLOS configuration achieved 500 µm precision for ...
Added: October 12, 2026
Singapore: Springer, 2026.
This volume presents the Proceedings of the 34th IUPAP Conference on Computational Physics (CCP2023), held in Kobe, Japan on August 4–8, 2023. It offers a collection of peer-reviewed articles that highlight recent developments in computational and simulation research across various areas of physics. Key topics include the use of data science, quantum computing, and machine ...
Added: October 12, 2026
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 ...
Added: October 12, 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
Kamchatnov A.M., Suleimanov B. I., Tsoy E. N., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2025 Vol. 111 No. 6 Article 064203
In this paper, we derive equations for the dynamics of ring dark solitons in an expanding cloud of a twodimensional Bose-Einstein condensate. Assuming that the soliton’s width is much smaller than its radius, we obtain the Hamilton equations for its evolution. Then they are transformed into the Newton equation, which is more convenient for applications. The general ...
Added: February 11, 2026
Shaykin D. V., A.M. Kamchatnov, Physical Review A: Atomic, Molecular, and Optical physics 2025 Vol. 112 No. 6 Article 063511
We develop the theory of dispersive shock waves in optical fibers for the case of long-distance propagation of optical pulses, when the small Raman effect stabilizes the profile of the shock. The Whitham modulation equations are derived as the basis for the Gurevich-Pitaevskii approach to the analytical theory of such shocks. We show that the wave variables at ...
Added: February 11, 2026
dos Santos G., Calasans de Brito L. F., Gammal A. et al., Physical Review A: Atomic, Molecular, and Optical physics 2025 Vol. 112 No. 3 Article 033318
A supersonic flow past an obstacle can generate a rich variety of wave excitations. This paper investigates, both analytically and numerically, two types of excitations generated by the flow of a Lee-Huang-Yang quantum fluid past an obstacle: linear radiation and oblique dark solitons. We show that wave crests of linear radiation can be accurately described by the proper ...
Added: February 11, 2026
Vergeles S. S., Levchenko A., Parfenyev V., Успехи физических наук 2025 Т. 195 № 11 С. 1199–1220
Attenuation of surface waves due to viscous dissipation is accompanied by the excitation of slow vortex currents due to the conservation of total momentum. We present a theoretical model for small-amplitude waves that explains experiments on vortex flow generation by crossing waves. Special attention is paid to the effect of surface contaminants, which is accounted ...
Added: November 9, 2025
Flamarion M., Pelinovsky E., Melnikov I., Chaos, Solitons and Fractals 2025 Vol. 196 Article 116422
We investigate the interaction of solitons with an external periodic field within the framework of the modified Korteweg–de Vries (mKdV) equation. In the case of small perturbation a simple dynamical system is used to
describe the soliton behavior. Equilibrium points of this dynamical system are computed when the external
force travels at a constant speed. Assuming that ...
Added: April 22, 2025
Kamchatnov A.M., Chaos 2023 Vol. 33 No. 9 Article 093105
We develop the theory of transformation of intensive initial nonlinear wave pulses to trains of solitons emerging at asymptotically large time of evolution. Our approach is based on the theory of dispersive shock waves in which the number of nonlinear oscillations in the shock becomes the number of solitons at the asymptotic state. We show ...
Added: January 22, 2025
Pelinovsky E., Talipova T., Didenkulova E., Physics Letters A 2024 Vol. 507 Article 129489
The dynamics of waves of sign-variable shape has been studied within the framework of the Hopf equation (ut +Fux = 0) with a non-analytic propagation velocity containing the modulus of the function at the zero crossing (F ~ |u|α). It is shown that Riemann waves exist only for a certain smoothness of the function F[u(x)] ...
Added: May 30, 2024
Чупров И. А., Efremenko D., Gao J. et al., / Series 2209 "[cs.NE]". 2022. No. 2209.14641.
Single-mode optical fibers (SMFs) have become the backbone of modern communication systems. However, their throughput is expected to reach its theoretical limit in the nearest future. Utilization of multimode fibers (MMFs) is considered as one of the most promising solutions rectifying this capacity crunch. Nevertheless, differential equations describing light propagation in MMFs are a way ...
Added: January 20, 2024
Ekaterina Didenkulova, Didenkulova I., Medvedev I., Natural Hazards and Earth System Sciences 2023 Vol. 23 P. 1653–1663
Freak or rogue waves are unexpectedly and abnormally large waves in seas and oceans, which can cause loss of human lives and damage to ships, oil platforms, and coastal structures. Evidence of such waves is widely spread around the globe. The present paper is devoted to analysis of the unified collection of freak wave events ...
Added: June 5, 2023
I. Koroleva Kikot, Breitman Rayzan N., Kovaleva M. et al., Communications in Nonlinear Science and Numerical Simulation 2022 Vol. 107 Article 106020
The present study is concerned with the dynamics of special localized solutions emerging
in the mass-in-mass anharmonic oscillatory chain in the state of acoustic vacuum. Each
outer element of the chain incorporates an additional, purely nonlinear mass attachment.
Using the homogeneity of the system under consideration, we use the separation of time
and space and reduce the analysis of ...
Added: May 17, 2023
Ekaterina Didenkulova, Pelinovsky E., Journal of Marine Science and Engineering 2023 Vol. 11 No. 3 Article 482
Unexpected large waves known as freak or rogue waves are a phenomenon emerging in the World Ocean and are causing significant damage to vessels and coastal structures. These waves are often associated with deep-water waves; however, they can also be dangerously close to the shore. The present study is devoted to the numerical modeling of ...
Added: March 16, 2023
Slunyaev A., Пелиновский Д. Е., Pelinovsky E., Успехи физических наук 2023 Т. 193 № 2 С. 155–181
Rogue waves are anomalously high waves that may suddenly form on the sea surface. At the dawn of the 21st century, they attracted the interest of researchers, from oceanographers to mathematicians. The review discusses the results of their research: physical mechanisms leading to the generation of anomalously high waves and respective mathematical models, observational data, results of ...
Added: February 13, 2023
Didenkulova E., Зайцев А. И., Pelinovsky E., Экологические системы и приборы 2022 № 12 С. 65–73
Eyewitness accounts of incidents associated with freak waves in the seas surrounding Russia are collected. The cases of damage of Russian ships by freak waves in other water areas are mentioned. Cases of instrumental measurements of freak wave parameters are presented. ...
Added: December 20, 2022
A. I. Dyachenko, Dyachenko S. A., Zakharov V. E., Journal of Fluid Mechanics 2022 Vol. 952 Article A30
We study a 2D potential flow of an ideal fluid with a free surface with decaying conditions at infinity. By using the conformal variables approach, we study a particular solution of Euler equations having a pair of square–root branch points in the conformal plane, and find that the analytic continuation of the fluid complex potential and conformal map
define a flow in the ...
Added: October 22, 2022
Dyachenko A., Kachulin D., Zakharov V., Lobachevskii Journal of Mathematics 2017 Vol. 38 No. 5 P. 888–892
Presented are the results of experiments on calculation of Probability Distribution Functions for elevations of waters waves in numerical tank. Statistics of waves of anomalous amplitude, or freak-waves were compared both for nonlinear and linear models. Obviously, linear model demonstrates the exact Rayleigh distribution of surface elevations while PDFs for nonlinear equation have tails (for ...
Added: October 22, 2022