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Солитоны в расширенном нелинейном уравнении Шредингера с псевдорамановским рассеянием и нелинейной дисперсией
Труды НГТУ им. Р.Е. Алексеева. 2016. № 2. С. 9-16.
Priority areas:
mathematics
Language:
Russian
Aseeva N., Gromov E., Onosova I. V. et al., JETP Letters 2016 Vol. 103 No. 10 P. 653-657
Evolution of solitons is addressed in the framework of a third-order nonlinear Schrödinger equation (NLSE), including nonlinear dispersion, third-order dispersion and a pseudo-stimulated-Raman-scattering (pseudo-SRS) term, i.e., a spatial-domain counterpart of the SRS term, which is well known as a part of the temporal domain NLSE in optics. In this context, it is induced by the ...
Added: June 28, 2016
Aseeva N., Gromov E., Onosova I. V. et al., JETP Letters 2016 Vol. 103 No. 10 P. 737-741
Evolution of solitons is addressed in the framework of a third-order nonlinear Schrodinger equation (NLSE), including nonlinear dispersion, third-order dispersion and a pseudo-stimulated-Raman-scattering (pseudo-SRS) term, i.e., a spatial-domain counterpart of the SRS term which is well known as a part of the temporal-domain NLSE in optics. In this context, it is induced by the underlying ...
Added: May 4, 2016
Gromov E., Наседкина Т. В., Tyutin V. V., Труды НГТУ им. Р.Е. Алексеева 2014 № 2(104) С. 320-325
Purpose: Dynamics of solitons is considered in the framework of the extended nonlinear Schrödinger equation including a pseudo-stimulated-Raman-scattering term, i.e., a spatial-domain counterpart of the stimulated-Raman-scattering term, which is a known ingredient of the temporal-domain nonlinear Schrödinger equation in optics. Also included is inhomogeneity of the spatial second-order dispersion in kink-type form.
Approach: Soliton’s dynamic investigated ...
Added: June 17, 2014
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., 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
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
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., 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
Gromov E.M., Malomed B. A., Physica Scripta 2015 Vol. 90 No. 6 P. 068021-1-068021-6
Dynamics of Langmuir solitons is considered in plasmas with spatially inhomogeneous electron temperature. An underlying Zakharov-type system of two unidirectional equations for the Langmuir and ion-sound fields is reduced to an inhomogeneous nonlinear Schrödinger equation (NLSE) with spatial variation of the second-order dispersion (SOD) and self-phase modulation (SPM) coefficients, induced by the spatially inhomogeneous profile ...
Added: April 25, 2015
Aseeva N., Gromov E., Tyutin V. V., Radiophysics and Quantum Electronics 2013 Vol. 56 No. 3 P. 157-166
We consider the soliton dynamics in terms of the extended nonlinear Schr¨odinger equation taking into account the inhomogeneous linear second-order dispersion (SOD) and stimulated scattering by damped low-frequency waves (SSDW). It is shown that the wave number downshift due to SSDW is compensated by an upshift due to the SOD decrease on the spatial coordinate. ...
Added: October 8, 2013
Gromov E., Tyutin V. V., Aseeva N., Труды НГТУ им. Р.Е. Алексеева 2012 № 4(97) С. 61-73
Исследована динамика солитонов огибающей в рамках расширенного уравнения Шредингера. Научный подход: Исследование проведено как численно, так и аналитически. В аналитической теории замкну-тую систему шести интегралов исходного модельного уравнения удалось свести к системе двух обыкновенных дифференциальных уравнений, в которой анализировалась структура фазового пространства.
Результат: Показано, что смещение волнового числа в длинноволновую область, обусловленное индуцирован-ным рассеянием Рамана может ...
Added: January 25, 2013
Aseeva N., Gromov E., Tyutin V. V., Chaos 2013 Vol. 23 No. 1 P. 013143-1-013143-6
Solitons dynamics in the frame of the extended nonlinear Schrodinger equation taking into account space stimulated Raman scattering (SSRS), synchronic spatial variation of inhomogeneous second-order dispersion (SOD), and self-phase modulation (SPM) is considered both analytically and numerically. Compensation of soliton Raman self–wave number down shift by synchronically increasing SOD and SPM is shown. Analytical soliton ...
Added: April 4, 2013
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
Aseeva N., Gromov E., Подчищаева О. В. et al., Труды НГТУ им. Р.Е. Алексеева 2013 № 1(98) С. 51-64
Purpose: Dynamics of solitons in the frame of the extended nonlinear Schrodinger equation taking into account stimulated Raman scattering in space presentation (space stimulated Raman scattering), smoothly inhomogeneous both second-order dispersion and self-phase modulation is considered. Approach: Soliton’s dynamic investigated as analytically as numerically. Findings: It is shown that wave number down shift (by space ...
Added: May 27, 2013
Gromov E., Tyutin V. V., Radiophysics and Quantum Electronics 2014 Vol. 57 No. 4 P. 279-286
The stationary waves with nonlinear phase modulation in an extended nonlinear Schrödinger equation with nonlinear dispersion and stimulated Raman–scattering terms are considered. New class of a kink–waves are found. This waves exists as the result of balance of the stimulated Raman–scattering and nonlinear dispersion ...
Added: July 28, 2014
Aseeva N., Gromov E., Tyutin V. V., Известия высших учебных заведений. Радиофизика 2013 Т. 56 № 3 С. 173-183
We consider the soliton dynamics in terms of the extended nonlinear Schrödinger equation taking into account the inhomogeneous linear second-order dispersion (SOD) and stimulated scattering by damped low-frequency waves (SSDW). It is shown that the wave number downshift due to SSDW is compensated by an upshift due to the SOD decrease on the spatial coordinate. ...
Added: August 27, 2013
Каз. : СМУиС, 2013
Вторая Всероссийская молодежная научная Интернет-конференция «Грани науки» проводится Казанским (Приволжским) федеральным университетом, Советом молодых ученых и специалистов города Казани (http://kznscience.ru) и Комитетом по делам детей и молодежи Исполкома Казани. ...
Added: July 7, 2016
Madera A. G., Компьютерные исследования и моделирование 2019 Т. 11 № 4 С. 613-630
A hierarchical method of mathematical and computer modeling of interval-stochastic thermal processes in complex electronic systems for various purposes is developed. The developed concept of hierarchical structuring reflects both the constructive hierarchy of a complex electronic system and the hierarchy of mathematical models of heat exchange processes. Thermal processes that take into account various physical ...
Added: November 1, 2019
Gromov E.M., Malomed B. A., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2015 Vol. 92 No. 6 P. 062926-1-062926-7
Dynamics of solitons is considered in the framework of an extended nonlinear Schrödinger equation (NLSE), which is derived from a Zakharov-type model for wind-driven high-frequency (HF) surface waves in the ocean, coupled to damped low-frequency (LF) internal waves. The drive gives rise to a convective (but not absolute) instability in the system. The resulting NLSE ...
Added: December 5, 2015
Беспалов П. А., Savina O. N., Известия высших учебных заведений. Радиофизика 2014 Т. 57 № 2 С. 129-136
Equations for the wave perturbations of velocity and pressure in a nonisothermal atmosphere are considered. It is noted that the pressure perturbation has singularities near the altitude where the equality of the horizontal phase velocity of the perturbation and sound velocity in the medium is fulfilled. At this altitude, a thin atmospheric layer with finite ...
Added: December 6, 2013
М. : Институт прикладной математики им. М.В. Келдыша РАН, 2018
Содержит материалы, представленные к рассмотрению на научно-практический семинар “Новые информационные технологии в автоматизированных системах”, проводившейся в Москве 20 апреля 2018 г.
Представляет интерес для научных сотрудников, преподавателей, аспирантов и студентов, работающих по указанным научным направлениям. ...
Added: April 20, 2018
М. : Национальный исследовательский ядерный университет МИФИ, 2015
Настоящая книга является вторым томом сборника аннотаций докладов, пред- ставленных на ежегодную Научную сессию НИЯУ МИФИ. Аннотации подготовлены преподавателями, научными сотрудниками, аспиран- тами и студентами НИЯУ МИФИ и его филиалов, учеными и специалистами акаде- мических институтов, научных и научно-производственных организаций Госкор- порации «Росатом» и зарубежных стран, активно сотрудничающих с университе- том. Доклады охватывают широкий круг ...
Added: September 27, 2016
Borisov N., Малина А. С., Качество. Инновации. Образование 2013 № 3 С. 44-49
The method of reduction of linear electric equivalent schemes is considered in this article. This method uses the property of the scheme which consists of subschemes with minimum connections. The macromodeling method is suggested to use for each subscheme. The macromodeling method allows excluding unimportant inner variables so the common count of equations will be ...
Added: August 28, 2013
Abrashkin A. A., Yakubovich E. I., Radiophysics and Quantum Electronics 2016 Vol. 58 No. 11 P. 852-857
We show that the discrete frequency spectrum of a plane hydrodynamic flow of ideal incompressible liquid with localized trajectories of the liquid particles can contain only one, two, or an infinite number of harmonics. ...
Added: November 17, 2016