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Wave dynamics within the Whitham-Ostrovsky equation
Nonlinear Dynamics. 2026. Vol. 114. Article 784.
Flamarion M. V., Pelinovsky E.
In this article, we investigate wave packet and solitary wave dynamics in the Whitham–Ostrovsky (WO) equation. By means of a multiple-scales expansion, we formally derive a nonlinear Schrödinger (NLS) equation governing the envelope evolution.The corresponding modulational stability diagram is then obtained using the Lighthill criterion. We show that sufficiently large values of the low-frequency dispersive term render plane-wave solutions modulationally unstable. Direct numerical simulations confirm that, within the unstable region, wave packets undergo a pronounced compression, consistent with the self-focusing mechanism of the focusing NLS equation. In contrast, in the modulationally stable region, the wave packet progressively broadens in space while its peak amplitude decreases, as the wave energy is redistributed over an increasingly wider spatial interval. We further examine how solitary-wave solutions of the Whitham equation are modified within the WO framework, where they evolve into localized wave packets due to the presence of the rotating term. In addition, we investigate the dynamics of solitary waves in the anomalous dispersion regime. These solutions are computed numerically and evolved under the full time-dependent equation, revealing that their interactions are inelastic, with noticeable generation of dispersive radiation and an increase in the amplitude of the larger solitary wave. Although such interactions could, in
principle, promote the emergence of a “soliton champion” or even a freak-wave–type structure after repeated collisions, the progressive steepening of the solitary waves alters this scenario. Numerical simulations indicate that, instead of forming a persistent dominant soliton, the wave profile continues to sharpen until the onset of wave breaking occurs.
Guskov T., Gerke K., Kondratyuk N. et al., Molecular Simulation 2026 Vol. 52 No. 7 P. 546 – 555
Equilibration is often assumed rather than tested in molecular dynamics studies of confined liquid–liquid interfaces, even though different physical properties may relax on different time scales. In this work, equilibration is examined using an automated truncation method based on the marginal standard error rule. Interfacial geometry, wetting behaviour, and density-related properties are analysed for liquid–liquid ...
Added: November 10, 2026
Lukyanchuk V., Norman G., Kondratyuk N. et al., Scientific Reports 2026 Vol. 16 No. 1 Article 16435
Previously, it has been effectively shown that nuclear quantum effects (NQE) considerably influence the prediction of the warm dense hydrogen phase diagram. Here, we study the influence of NQE on the parameters of the conducting state formation in warm dense hydrogen using path integral molecular dynamics (PIMD) within the framework of the finite temperature density ...
Added: November 10, 2026
Zhurin Y., Baksheeva K., Ozhegov R. et al., Цифровая обработка сигналов 2026 № 3 С. 24–29
This paper presents a software tool developed for processing terahertz thermal images of the human face acquired during a controlled psychophysiological experiment. In the experiment, a 500 GHz single-pixel detector combined with a two-mirror scanning system forms a sequence of low-resolution thermal frames (700×51 pixels) of the subject’s face while the person undergoes relaxation and ...
Added: November 9, 2026
Abumusabh M., Adachi I., Adamczyk K. et al., Physical Review Letters 2026 Vol. 137 No. 19 Article 191901
We study the processes e+e− → Υ_J(1D)η and e+e− → Υ_J(1D)π+π− at center-of-mass energies √s=(10.73 – 11.02) GeV using a 142.5 fb−1 data sample, including 122 fb−1 near the Υ(10860) peak (√s = 10.866 GeV), collected with the Belle detector at the KEKB asymmetric-energy e+e− collider. From the peak sample, the products of Born cross ...
Added: November 9, 2026
Abumusabh M., Aggarwal L., Ahmed H. et al., Physical Review D - Particles, Fields, Gravitation and Cosmology 2026 Vol. 114 No. 5 Article 052016
We report the first observation of the decays B+ → Sigma_c(2455)++ Xi-_c'-bar and B0 → Sigma_c(2455)0 Xi0_c'-bar, with significances of 6.4σ and 5.3σ, respectively, including systematic uncertainties. This analysis is based on data samples containing 771.6×10^6 Υ(4S) decays collected with the Belle detector at the KEKB collider and 520.6×10^6 Υ(4S) decays collected with the Belle ...
Added: November 9, 2026
Abumusabh M., Adachi I., Aggarwal L. et al., Physical Review Letters 2026 Vol. 136 No. 23 Article 231802
We present a search for an invisible hidden-sector particle X_inv, produced in B0 → D0-bar X_inv and B± → h X_inv decays, where h = π±, K±, D_s±, p±. The search is performed using e+e− collision data recorded with the Belle detector, corresponding to 711 fb−1. No significant signal is observed. We set 90% confidence ...
Added: November 9, 2026
Abumusabh M., Adachi I., Adamczyk K. et al., Physical Review D - Particles, Fields, Gravitation and Cosmology 2026 Vol. 113 No. 3 Article 032004
A sample of 365 fb−1 of e+e− → Υ(4S) → BB-bar data collected by the Belle II experiment is used to measure the partial branching fractions of charmless semileptonic B meson decays and determine the magnitude of the Cabibbo-Kobayashi-Maskawa matrix element V_ub. Events containing a signal electron or muon ℓ and a fully reconstructed hadronic ...
Added: November 9, 2026
Uglov T., International Journal of Modern Physics A 2026 P. 2645005–2645013
The paper presents the upgrade of the KL and muon detector for the Belle II experiment at the SuperKEKB collider. To maintain the performance under the elevated background levels associated with high luminosity, the original resistive plate chambers in the endcaps and the innermost barrel layers have been replaced with a scintillator-based system. The new ...
Added: November 9, 2026
Ясавеев М. И., International Journal of Modern Physics A 2026 Article 2645007
The Belle and Belle II experiments have collected large samples of e+e- collision data at center-of-mass energies near the Y(4S) resonance, containing a substantial number of e+e- → cc-bar events. We report measurements of D0-D0-bar mixing parameters using a model-independent analysis of D0 → Ks pi+ pi- decays. We also present results on CP-asymmetries in ...
Added: November 9, 2026
Ясавеев М. И., Pakhlov P., Петерс Н. А. et al., Journal of High Energy Physics 2026 Vol. 7 Article 169
This paper presents a detailed description of a model-independent method for the direct measurement of the Υ(4S) → B+B− and Υ(4S) → B0B0-bar production fractions at B factories. The method is based on counting single- and double-inclusive charmed meson production at the Υ(4S) resonance, providing statistical tagging of B0B0-bar and B+B− events. A feasibility study ...
Added: November 9, 2026
Aleksei Samarin, Belous F., Торопов А. Г. et al., Technologies 2026 Vol. 14 No. 11 P. 1–21
Abstract
Automated interpretation of magnetic flux leakage (MFL) data is central to condition assessment of long-distance oil and gas pipelines. Yet, full-resolution panoramas are difficult to process without either suppressing small anomalies through resizing or fragmenting elongated objects at sliding-window boundaries. We propose MFL-ScrollNet, a recurrent sliding-window detector that formulates panoramic analysis as an ordered sequence ...
Added: November 8, 2026
Neuberger A., Veretenenko I. I., Shalygin A. et al., Nature Communications 2026 Vol. 17 No. 1 P. 1–13
Polyamines are organic cations that are present at sub-millimolar concentrations
in the cytoplasm and extracellular fluids and serve as versatile modulators
of TRP channels, fine-tuning their functions in physiological and
pathological contexts, including pain, inflammation and cancer. Despite
extensive functional studies, the structural basis by which polyamines regulate
TRP channels remains unclear. Here, we combine calcium imaging, electrophysiology,
cryo-electron microscopy, mutagenesis ...
Added: November 7, 2026
Kupavskii S. A., Malikov R. O., Dyakov S. A. et al., Applied Physics Letters 2026 Vol. 129 Article 161105
The match of the fourth power of the normalized third Stokes parameter for a single non-ideal quarter-wave plate (QWP) and the visibility function of the polarization contrast measured using a polarimetric setup with parallel polarizers and two identical QWPs was examined and observed. This match was first established numerically using the Fourier-modal method (FMM) and ...
Added: November 6, 2026
Baeva E., Titova N. A., Kirsanova M. A. et al., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 No. 19 Article 194513
We employ the flux-flow instability (FFI) technique—a widely used method for determining the quasiparticle relaxation time (𝜏𝐸)—to investigate single-crystal superconducting titanium nitride (TiN) films characterized by weak vortex pinning and slow electron-phonon relaxation. By systematically varying the TiN strip width, we show that reliable extraction of the vortex velocity and 𝜏𝐸 is achievable only when ...
Added: November 6, 2026
Brandyshev P., Koniushenko M., Budkov Y., Journal of Chemical Physics 2026 Vol. 165 No. 16
We develop a finite-temperature field-theoretical description of the Casimir interaction between two perfectly conducting boundaries with the intervening gap filled by a two-component quantum Boltzmann plasma embedded in a homogeneous dielectric background. The quantum motion of the charged particles is represented by imaginary-time worldlines, while the electromagnetic field is treated in the Gaussian approximation. The ...
Added: November 6, 2026
Retinsky V., Функциональный анализ и его приложения 2026 Т. 60 № 4 С. 83–100
Приведено обобщение матричной теоремы о деревьях на случай перечисления пар остовных деревьев. Это обобщение включает в качестве частных случаев и унифицирует сразу несколько известных ранее результатов, в частности классическую теорему Кирхгофа, теорему Масбаума–Вайнтроба о перечислении 3-деревьев, а также аналог матричной теоремы о деревьях для перечисления 4-элементов Кирхгофа. ...
Added: November 5, 2026
Levashev V., Математические заметки 2026 Т. 120 № 5 С. 843–846
Пусть 𝐴 – коммутативное ассоциативное кольцо с единицей и 𝐴((𝑡)) = 𝐴[[𝑡]][𝑡−1] – кольцо рядов Лорана над 𝐴. Алгебра 𝐴((𝑡)) имеет естественную топологию, где 𝐴 – подмодули вида 𝑡𝑚𝐴[[𝑡]] образуют базу окрестностей нуля. Пусть также Ω1𝐴((𝑡))/𝐴 – модуль кэлеровых 1-дифференциалов 𝐴((𝑡)) над 𝐴. ...
Added: November 5, 2026
Алексеев О. В., Letters in Mathematical Physics 2026 Vol. 116 No. 5 Article 132
We study the mixed Hessian of the dispersionless Toda \(\tau\)-function for the one-harmonic \(s\)-fold symmetric conformal map \(f(w)=r\bigl(w+\zeta w^{1-s}\bigr)\), where \(r>0\) is the exterior conformal radius and \(\zeta>0\) is the dimensionless shape parameter. This Hessian is the susceptibility matrix generated by the inverse conformal map. Our spectral statements are formulated for its weighted symmetry-block realizations ...
Added: November 5, 2026
Щербинин С. А., Корзникова Е. А., Дмитриев С. В. et al., Physics Letters A 2026 Vol. 591 Article 131884
In this work, a simple genetic algorithm (GA) is used to find and characterize different QBs in a 𝛽-FPUT chain. By considering the space of initial particle displacements as a global optimization landscape, GA maximizes the energy localization function by automatically evolving candidate states toward highly localized long-lived solutions without a priori symmetry assumptions. 200 ...
Added: September 28, 2026
Chernyshov D., В кн.: XXIX Межвузовская научно-техническая конференция студентов, аспирантов и молодых специалистов им. Е.В. Арменского. Москва, 22–28 апреля 2025 года.: М.: МИЭМ НИУ ВШЭ, 2025.
Работа посвящена исследованию обобщённого отображения Чирикова, описывающего динамику плоского ротатора под действием периодического возбуждения. Получены аналитические и численные результаты, демонстрирующие стохастический характер поведения системы при бинарном режиме управления ротатором. Новым результатом является обнаружение дополнительной серии резонансов (антирезонансов) и установление границы устойчивого поведения нелинейных отображений при сложных методах управления динамикой нелинейной системы. ...
Added: May 19, 2026
Flamarion M. V., Pelinovsky E., Chaos, Solitons and Fractals 2026 Vol. 204 Article 117731
We investigate the evolution of algebraic solitons of the Benjamin–Ono (BO) equation and wave packets within the framework of the Benjamin–Ono–Ostrovsky (BOO) equation by combining asymptotic analysis with direct numerical simulations. The BOO model incorporates a low-frequency dispersive term that accounts for the effects of background rotation in a fluid. Through asymptotic expansion, we derive a ...
Added: December 7, 2025
Кедров А. А., С.А. Щербинин, Известия высших учебных заведений. Прикладная нелинейная динамика 2025 Т. 31 № 1
Цель настоящей работы — исследовать устойчивость периодического режима, соответствую щего моде с наименьшей длиной волны (так называемой-моде) в цепочке Тоды с кубическим возмущением в потенциале межчастичного взаимодействия. Методы. Исследование устойчивости проводилось на основе стандартного метода Флоке. Возникающая при этом вариационная система расщепляется на независимые двумерные подсистемы, что позволяет делать выводы об устойчивости-моды для цепочки из ...
Added: November 27, 2025
Екомасов Е. Г., Нерадовский Д. Ф., Фахретдинов М. И. et al., Челябинский физико-математический журнал 2025 Т. 10 № 2 С. 227–235
The effect of the thickness of a non-magnetic layer and the magnitude of the spin-polarized current on the coupled dynamics of two magnetic vortices in a spin-transfer nanoscillator is investigated. A spin-transfer nanoscillator in the form of a three–layer conductive cylinder with a diameter of 200 nm is considered. The features of the dynamics of ...
Added: September 28, 2025
Flamarion M. V., Pelinovsky E., Applied Mathematics and Computation 2025 Vol. 493 Article 129265
In this article, we consider the cubic vortical Whitham equation with both positive and negative nonlinearity to investigate overtaking solitary wave collisions. We compute solitary waves numerically, including ``thick'' solitary waves. Our results show that in both cases, the geometric Lax categorization holds, however, it is independent of the magnitude of the amplitude of the solitary waves. ...
Added: January 3, 2025