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Internal Wave Breathers in the Slightly Stratified Fluid
Microgravity Science and Technology. 2020. Vol. 32. P. 69-77.
Talipova T., Kurkina O. E., Kurkin A. A., Didenkulova E., Pelinovsky E.
The theory of long nonlinear oscillating wave packets (breathers) in a stratified fluid with a small density difference in a
gravitational field is developed. The theory is based on the Gardner equation and its modifications, which are fully integrable with modern methods of the nonlinear wave theory. Examples of the breather generation are given and the conditions for their stability are discussed.
Didenkulova E., Талипова Т. Г., Диденкулов О. И., Экологические системы и приборы 2022 № 12 С. 55-64
The article presents the results of numerical simulation of the dynamics of solitary internal waves’ ensembles in a stratified (vertically inhomogeneous) ocean for hydrophysical conditions close to those on the Indian Ocean shelf. Ensembles of unipolar and bipolar solitons, as well as solitons and breathers with random amplitudes and phases are considerate. Estimates of the statistical characteristics of ...
Added: January 31, 2023
Pelinovsky E., Kurkina O. E., Kurkin A. A. et al., Wulfenia Journal 2015 Vol. 22 No. 4 P. 7-16
The characteristics of nonlinear internal waves in a shallow stratified lake are considered on the example of the Sankhar Lake (Vladimir region, Russia). It is shown that natural variations of temperature in the lake affect the kinematic characteristics of internal waves, especially the coefficient of the quadratic nonlinearity. The theoretical model based on the extended ...
Added: August 4, 2015
Didenkulova E., Pelinovsky E., Fluids 2020 Vol. 5 P. 205
Oscillating wave packets (breathers) are a significant part of the dynamics of internal gravity
waves in a stratified ocean. The formation of these waves can be provoked, in particular, by the decay
of long internal tidal waves. Breather interactions can significantly change the dynamics of the wave
fields. In the present study, a series of numerical experiments on ...
Added: November 10, 2020
Pelinovsky E., Kurkin A. A., Kurkina O. E. et al., Fundamentalnaya i Prikladnaya Gidrofizika 2018 Vol. 11 No. 2 P. 8-20
A brief review of recent studies of internal waves in the Baltic Sea is given. The data of various observations of internal waves in the Baltic region are discussed and a database for the background hydrological parameters that govern the basic appearance of the internal wave shape is introduced. These data sets are employed to select examples ...
Added: October 21, 2018
Pelinovsky E., Kurkin A. A., Kurkina O. E. et al., Nonlinear Processes in Geophysics 2018 Vol. 25 P. 511-519
Statistical estimates of internal waves in different
regions of theWorld Ocean are discussed. It is found that the
observed exceedance probability of large-amplitude internal
waves in most cases can be described by the Poisson law,
which is one of the typical laws of extreme statistics. Detailed
analysis of the statistical properties of internal waves in several
regions of theWorld Ocean has ...
Added: October 21, 2018
Pelinovsky E., Талипова Т. Г., Kurkina O. E. et al., Shock and Vibration, Hindawi Publishing Corporation 2015 Vol. 2015 P. ID 875619
Numerical modeling of dispersive shock waves called solibore in a stratified fluid is conducted. The theoretical model is based on extended version of the Korteweg-de Vries equation which takes into account the effects of cubic nonlinearity and Earth rotation. This model is now very popular in the physical oceanography. Initial conditions for simulations correspond to ...
Added: August 4, 2015
Didenkulova E., Pelinovsky E., Symmetry 2020 Vol. 12 No. 4, 638 P. 1-12
We study a breather’s properties within the framework of the modified Korteweg–de Vries
(mKdV) model, where cubic nonlinearity is essential. Extrema, moments, and invariants of a breather
with dierent parameters have been analyzed. The conditions in which a breather moves in one
direction or another has been determined. Two limiting cases have been considered: when a breather
has an ...
Added: April 22, 2020
Didenkulova I., Nikolkina I., Pelinovsky E., JETP Letters 2013 Vol. 97 No. 4 P. 221-225
Properties of rogue waves in the basin of intermediate depth are discussed in comparison with known properties of rogue waves in deep waters. Based on observations of rogue waves in the ocean of intermediate depth we demonstrate that the modulational instability can still play a significant role in their formation for basins of 20m and ...
Added: February 26, 2013
Семин С. В., Kurkina O. E., Kurkin A. A. et al., Труды НГТУ им. Р.Е. Алексеева 2012 № 2(95) С. 48-65
Purpose: Numerical modeling of internal baroclinic disturbances of different shapes in a model lake with variable depth, analysis of velocity field of wave-induced current, especially in the near-bed layer.
Approach: The study is carried out with the use of numerical full nonlinear nonhydrostatic model for stratified fluid.
Findings: The full nonlinear numerical modeling of internal wave dynamics ...
Added: October 6, 2012
Pelinovsky E., Talipova T., Didenkulova I. et al., Studies in Applied Mathematics 2019 Vol. 142 No. 4 P. 513-527
Long wave propagation in a two-layer fluid with variable depth is studied for specific bottom configurations, which
allow waves to propagate over large distances. Such configurations are found within the linear shallow-water theory
and determined by a family of solutions of the second-order ordinary differential equation (ODE) with three arbitrary
constants. These solutions can be used to approximate the true bottom bathymetry. ...
Added: October 26, 2018
Kokoulina M. V., O. E. Kurkina, Talipova T. G. et al., Physical Oceanography 2023 Vol. 30 No. 5 P. 563-580
Purpose. The study is aimed at constructing the atlas, or a set of charts, for kinematic and nonlinear parameters of internal waves of the lowest mode in the Sea of Japan for mapping the region according to possible wave forms, and for determining polarities (elevation or depression) and limiting amplitudes of solitary internal waves.
Methods and ...
Added: November 8, 2023
Талипова Т. Г., Kurkina O. E., Giniyatullin A. et al., Экологические системы и приборы 2013 № 11 С. 59-66
In this paper for the explain of the mechanism of formation of smooth strips (slicks) on the sea surface under the action of internal waves are used the film of surface-active substances, attendees everywhere in the sea. Experimental data on the real characteristics of marine films of surface-active substances are used for the calculation of ...
Added: November 18, 2013
Pelinovsky E., Kurkin A. A., Kurkina O. E. et al., Известия РАН. Физика атмосферы и океана 2014 Т. 50 № 6 С. 714-722
Трансформация пакета внутренних волн при его распространении на португальском шельфе изучалась во время международного эксперимента EU MAST II MORENA в 1994 г. В статье представлены результаты моделирования динамики этого пакета для гидрологических условий по трассе распространения. Моделирование проводилось на основе обобщенного уравнения Гарднера, включающего неоднородность гидрологии, вращение Земли и диссипацию в придонном пограничном слое. Обсуждаются ...
Added: November 18, 2013
Pelinovsky E., Kurkin A. A., Kurkina O. E. et al., European Physical Journal E 2018 Vol. 41 P. 47
The structure of the velocity field induced by internal solitary waves of the first and second
modes is determined. The contribution from second-order terms in asymptotic expansion into the horizontal
velocity is estimated for the models of almost two- and three-layer fluid for solitons of positive and negative
polarity. The influence of the nonlinear correction manifests itself firstly ...
Added: October 21, 2018
Tyugin D. Y., Наумов А. А., Kurkina O. E. et al., Экологические системы и приборы 2014 № 1 С. 20-28
Simulation of abnormally large internal waves generated by the baroclinic tide is now quite important due to the increased number of offshore platforms installed on offshore oil and gas fields. The height of the internal waves in many areas of the oceans can be up to 100 m, and these waves become really dangerous. All ...
Added: November 18, 2013
Slunyaev A., Studies in Applied Mathematics 2019 Vol. 142 P. 385-413
Conditions of optimal (synchronized) collisions of any number of solitons and breathers are studied within the framework of the Gardner equation (GE) with positive cubic nonlinearity, which in the limits of small and large
amplitudes tends to other long-wave models, the classic and the modified Korteweg–de Vries equations. The local
solution for an isolated soliton or breather within the GE is obtained. ...
Added: March 11, 2019
Belik G. A., Abrameshin A. E., Saenko V. S., Технологии электромагнитной совместимости 2012 № 3(42) С. 5-16
A review of the literature on internal electrification onboard avionics spacecraft. The influence of space weather on the degree of electrification of the spacecraft. The main responses to the factors affecting the electrification. ...
Added: November 8, 2012
Талипова Т. Г., Пелиновский Е. Н., Куркина О.Е. et al., Фундаментальная и прикладная гидрофизика 2013 Т. 6 № 3 С. 46-53
Найден класс точных решений для линейных длинных внутренних волн в двухслойном потоке переменной глубины и сечения. Эти решения описывают так называемое безотражательное распространение, когда волновое поле может быть представлено суммой двух независимых волн с переменными амплитудой и фазой, которые распространяются в противоположных направлениях. Существование таких безотражательных волн возможно лишь при определенных конфигурациях водного потока, которые ...
Added: September 15, 2013
Владикавказ : [б.и.], 2013
Сборник материалов IV Международной научно-практической конференции "Молодые ученые в решении актуальных проблем науки" ...
Added: July 7, 2016
Klein M., Clauss G., Slunyaev A., Physics of Fluids 2017 Vol. 29 P. 047103-1-047103-17
The investigation of dynamics of intense solitary wave groups of collinear surface waves is performed by means of numerical simulations of the Euler equations and laboratory experiments. The processes of solitary wave generation, reflection from a wall and collisions are considered. Steep solitary wave groups with characteristic steepness up to kAcr ~ 0.3 (where k is the ...
Added: February 14, 2019
Abrameshin A. E., Технологии электромагнитной совместимости 2012 № 3 С. 29-32
В работе изложены перспективы развития концепции нанопроводимости диэлектриков в отечественной космической технике. Сформулированы задачи по созданию безразрядных космических аппаратов и намечены пути решения этих задач. Приведены оценки необходимости и возможности технологического перехода к проектированию и изготовлению безразрядных космических аппаратов (КА) нового поколения на основе применения в бортовой радиоэлектронной аппаратуре КА нанопроводящих диэлектриков. Показано, что такой ...
Added: November 15, 2012
Festa P., Pardalos P. M., Annals of Operations Research 2012 P. 663-682
Computational molecular biology has emerged as one of the most exciting interdisciplinary fields. It has currently benefited from concepts and theoretical results obtained by different scientific research communities, including genetics, biochemistry, and computer science. In the past few years it has been shown that a large number of molecular biology problems can be formulated as ...
Added: January 9, 2013
М., Ижевск : Межрегиональная Общественная Организация "Женщины в науке и образовании", 2014
Секции:
Математические теории
Вычислительные методы и математическое моделирование
Анализ сложных биологических систем. Экспреримент и модели.
Социально-экономические исследования
Гуманитарное и естественно-научное образование
Музей в современном мире
Гендерная теория и практика ...
Added: December 11, 2016
Novikova E., Наноструктуры. Математическая физика и моделирование 2012 Т. 7 № 2 С. 59-86
Рассматривается спектральная задача для атома водорода, помещенного в возмущающие магнитное и электрическое поля. Найдены резонансные соотношения на величину полей и угол между ними, при которых квантовая усредненная система (в первом порядке теории возмущений) имеет нелиевскую алгебру симметрий, чьи коммутационные соотношения между генераторами задаются полиномами не выше кубического. Неприводимые представления этой алгебры соответствуют спектральным кластерам, локализованным вблизи ...
Added: December 22, 2012