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Stationary internal waves in the upper atmosphere with allowance for inhomogeneity, nonlinearity, and losses
Geomagnetism and Aeronomy. 2015. Vol. 55. No. 5. P. 658-662.
The possibility of the existence of a solitary internal gravity wave at heights of the Earth’s thermosphere is considered. Analytical results were obtained in local approximation with weak nonisothermality of the atmosphere. For internal gravity waves, the Korteweg–de Vries equation was derived and studied with allowance for inhomogeneity, nonlinearity, and dissipation. The theoretical results were used to interpret the main parameters of solitary intermittent ionospheric disturbances observed at heights of the F region of the ionosphere.
Priority areas:
engineering science
Language:
English
Aseeva N.V., Gromov E.M., Tyutin V.V., Radiophysics and Quantum Electronics 2015 Vol. 58 No. 3 P. 209-215
Evolution of solitons is addressed in the framework of an extended nonlinear Schrödinger equation (NLSE), including a pseudo-stimulated-Raman-scattering (pseudo-SRS) term, i.e., a spatial-domain counterpart of the SRS term which is well known as an ingredient of the temporal-domain NLSE in optics. In the present context, it is induced by the underlying interaction of the high-frequency ...
Added: May 7, 2015
Blyakhman L. G., Morozov V. P., Tyutin V. V., Труды НГТУ им. Р.Е. Алексеева 2016 № 3 (114) С. 9-15
Цель работы: Исследована динамика двухкомпонентных (векторных) солитонов Давыдова-Скотта(ДС) при пространственно-скоростном рассогласовании высокочастотных (ВЧ) и низкочастотных (НЧ) компонент. Рассмотрение проведено в рамках Захаровского типа системы двух связанных уравнений для ВЧ и НЧ поля. В этой системе ВЧ поле описывается линейным уравнением Шредингера с переменным во времени и пространстве потенциалом, вызванным НЧ компонентой. НЧ компонента в этой ...
Added: October 5, 2016
Aseeva N., Gromov E., Tyutin V. V., Известия высших учебных заведений. Радиофизика 2015 Т. 58 № 3 С. 227-234
Evolution of solitons is addressed in the framework of an extended nonlinear Schrödinger equation (NLSE), including a pseudo-stimulated-Raman-scattering (pseudo-SRS) term, i.e., a spatial-domain counterpart of the SRS term which is well known as an ingredient of the temporal-domain NLSE in optics. In the present context, it is induced by the underlying interaction of the high-frequency ...
Added: December 9, 2014
Evgeny Gromov, Malomed B., Chaos 2017 Vol. 27 No. 11 P. 113107-1-13107-13
New two-component soliton solutions of the coupled high-frequency (HF) - low-frequency (LF) system, based on Schrödinger - Korteweg - de Vries (KdV) system with the Zakharov's coupling, are obtained for arbitrary relative strengths of the nonlinearity and dispersion in the LF component. The complex HF field is governed by the linear Schrödinger equation with a ...
Added: October 24, 2017
Aseeva N.V., Gromov E.M., Tyutin V. V., Journal of Experimental and Theoretical Physics 2015 Vol. 121 No. 6 P. 955-960
The dynamics of high-frequency field solitons is considered using the extended nonhomogeneous nonlinear Schrodinger equation with induced scattering from damped low-frequency waves (pseudoinduced scattering). This scattering is a 3D analog of the stimulated Raman scattering from temporal spatially homogeneous damped low-frequency modes, which is well known in optics. Spatial inhomogeneities of second-order linear dispersion and ...
Added: August 18, 2015
Gromov Evgeny, Malomed B., Chaos 2016 Vol. 26 No. 12 P. 123118-1-123118-10
One-parameter families of exact two-component solitary-wave solutions for interacting high-frequency (HF) and low-frequency (LF) waves are found in the framework of Zakharov-type models, which couple the nonlinear Schrödinger equation (NLSE) for intense HF waves to the Boussinesq (Bq) or Korteweg - de Vries (KdV) equation for the LF component through quadratic terms. The systems apply, ...
Added: November 26, 2016
Blyakhman L. G., Gromov E., Malomed B. A. et al., Chaos, Solitons and Fractals 2018 No. 117 P. 264-268
The dynamics of two-component solitons with a small spatial displacement of the high-frequency (HF) component relative to the low-frequency (LF) one is investigated in the framework of the Zakharov-type system. In this system, the evolution of the HF field is governed by a linear Schrödinger equation with the potential generated by the LF field, while ...
Added: November 12, 2018
Gromov E., Solycheva O. M., Tyutin V. V., Труды НГТУ им. Р.Е. Алексеева 2011 № 1 (86) С. 44-52
In the frame of the third-order nonlinear wave dispersion theory the equation of motion of a vector wave packets mass center taken in to account arbitrary inhomogeneity profile is obtained. As short vector wave packets localized motion as infinite motion is shown. Short vector wave packets localizations area can be as bigger as smaller in ...
Added: May 21, 2012
Savina O. N., Gromov E., Tyutin V. V., Геомагнетизм и аэрономия 2015 Т. 55 № 5 С. 675-679
The possibility of the existence of the solitary internal gravity waves on the Earth's thermosphere heights is discussed. Analytical results are obtained with local approximation weak
nonisothermal atmosphere. For internal gravity waves is derived Korteweg-de Vries equation with the heterogeneity, nonlinearity and dissipation. Theoretical
results are used to interpret the basic parameters of solitary traveling ionospheric disturbances ...
Added: July 2, 2015
Abrashkin A. A., Gromov E., Tyutin V. V., Труды НГТУ им. Р.Е. Алексеева 2010 № 1 (80) С. 36-42
Propagation of the short vector envelope solitons in a inhomogeneous medium with linear potential in coupled third–order nonlinear Shrodinger equations frame is considered. Explicit vector soliton solution is obtained. The explicit solution for the solitons trajectories is studied. In particular cases this solitons solution can be reduced as to the short scalar soliton solution on ...
Added: May 21, 2012
Aseeva N., Blyakhman L. G., Logvinova K. V. et al., Труды НГТУ им. Р.Е. Алексеева 2013 № 3(100) С. 37-46
Цель работы: Рассмотрена динамика солитонов в рамках расширенного нелинейного уравнения Шредингера. Учтено как индуцированное рассеяние высокочастотных волн на затухающих низкочастотных волнах, так и неоднородность линейной дисперсии второго порядка.
Научный подход: Исследование проведено как численно, так и аналитически.
Результат: Показано, что смещение пространственного спектра солитона в длинноволновую область, обусловленного индуцированным рассеянием, компенсируется убывающей дисперсией, смещающей спектр солитона в ...
Added: September 24, 2013
Blyakhman L. G., Gromov E., Onosova I. V. et al., Physics Letters A 2017 Vol. 381 No. 17 P. 1490-1492
The dynamics of a two-component Davydov-Scott (DS) soliton with a small mismatch of the initial location or velocity of the high-frequency (HF) component was investigated within the framework of the Zakharov-type system of two coupled equations for the HF and low-frequency (LF) fields. In this system, the HF field is described by the linear Schrödinger ...
Added: February 3, 2017
Gromov E.M., Malomed B. A., Optics Communications 2014 Vol. 320 P. 88-93
Dynamics of solitons is considered in the framework of an extended nonlinear Schrödinger equation (NLSE), which is derived from a system of the Zakharov's type for the interaction between high- and low-frequency (HF and LF) waves. The resulting NLSE includes a pseudo-stimulated-Raman-scattering (pseudo-SRS) term, i.e., a spatial-domain counterpart of the SRS term, which is a ...
Added: February 1, 2014
Krasivskaya M., М. : Московский государственный институт электроники и математики, 2011
Основным содержанием работы является изучение статистических методов обработки результатов производственных измерений и получение практических навыков разработки и применения программных модулей для их автоматизированной реализации. ...
Added: January 11, 2013
Н. Новгород : Изд-во ННГУ им. Н.И. Лобачевского, 2014
В сборник включены материалы докладов научной конференции, проходившей
на радиофизическом факультете ННГУ с 12 по 16 мая 2014 г. Доклады охватывают
основные научные направления, развиваемые кафедрами факультета. Работы
выполнены сотрудниками, студентами, магистрантами и аспирантами ННГУ и
других организаций радиофизического и технического профиля. Печатается по
решению Ученого Совета радиофизического факультета ННГУ в рамках
выполнения Программы развития Нижегородского государственного университета
им. Н.И. Лобачевского как ...
Added: January 25, 2017
М. : МИЭМ НИУ ВШЭ, 2013
The materials of The Second International Scientific – Practical Conference is presented below. The Conference reflects the modern state of innovation in education, science, industry and social-economic sphere, from the standpoint of introducing new information technologies.
Digest of Conference materials is presented in 4 parts. It is interesting for a wide range of researchers, teachers, graduate ...
Added: April 18, 2013
Budkov Y., М. : ЛЕНАНД, 2020
Within the presented monograph for the first time statistical approaches, based on the self-consistent field theory, were presented for the theoretical description of the thermodynamic properties of the ion-molecular systems (electrolyte solutions, ionic liquids, dielectric polymers and metal-organic frameworks) in the bulk solution and at the interfaces with the account for their molecular structure. In ...
Added: November 18, 2019
Зайцев В. И., Щавелин В. М., / Московский инженерно-физический институт. Серия 001-86 "Препринт МИФИ". 1986. № 001-86.
Added: November 30, 2020
Ezersky A., Tiguercha1 D., Pelinovsky E., Natural Hazards and Earth System Sciences 2013 Vol. 13 No. 11 P. 2745-2752
Run-up of long waves on a beach consisting of three pieces of constant but different slopes is studied. Linear shallow-water theory is used for incoming impulse evolution, and nonlinear corrections are obtained for the run-up stage. It is demonstrated that bottom profile influences the run-up characteristics and can lead to resonance effects: increase of wave ...
Added: November 13, 2013
Пенза : ПГУ, 2016
В сборник трудов включены доклады ХХI-го Международного симпозиума «Надежность и качество», проходившего с 23 по 29 мая 2016 г. в городе Пензе.
Рассмотрены актуальные проблемы теории и практики повышения надежности и качества; эффективности внедрения инновационных и информационных технологий в фундаментальных научных и прикладных исследованиях, образовательных и коммуникативных системах и средах, экономике и юриспруденции; методов и средств ...
Added: May 27, 2016
Didenkulova E., Pelinovsky E., Touboul ., Wave Motion 2021 Vol. 100 Article 102668
The role of various long-wave approximations in the description of the wave field and bottom pressure caused by surface waves, and their relation to evolution equations are being considered. In the framework of the linear theory, these approximations are being tested on the well-known exact solution for the wave spectral amplitudes and pressure variations. The ...
Added: January 26, 2021
Буров А.А., Герман А. Д., Косенко И. И., Космические исследования 2014 Т. 52 № 4 С. 307-312
The problem of planar oscillations of a pendulum with variable length suspended on the Moon’s surface is considered. It is assumed that the Earth and Moon (or, in the general case, a planet and its satellite, or an asteroid and a spacecraft) revolve around the common center of mass in unperturbed elliptical Keplerian orbits. We ...
Added: November 8, 2014
Mainichev D. A., Korenev V. S., Abramov P. A. et al., Dalton Transactions 2012 Vol. 41 P. 14484-14486
Reaction between monolacunary {BW11} tungstoborate and oxothiocationic building block, {Mo2O2S2}, results in the formation of a new polyoxothiometalate with a unique architecture in which two [H2BW12O43]9− tungstoborate subunits are linked together with a hexamolybdate [MoV6O6S6(OH)4(H2O)2]2+ bridge. ...
Added: November 13, 2014
Пенза : ПГУ, 2015
В сборник трудов включены доклады юбилейного ХХ-го Международного симпозиума «Надежность и качество», проходившего с 25 по 31 мая 2015 г. в городе Пензе.
Рассмотрены актуальные проблемы теории и практики повышения надежности и качества; эффективности внедрения инновационных и информационных технологий в фундаментальных научных и прикладных исследованиях, образовательных и коммуникативных системах и средах, экономике и юриспруденции; методов и ...
Added: May 31, 2015