?
Стационарные волны в расширенном нелинейном уравнении Шредингера с учетом индуцированного рассеяния Рамана и нелинейной дисперсии
Труды НГТУ им. Р.Е. Алексеева. 2011. № 2 (87). С. 38-48.
The stationary waves with nonlinear phase modulation in the frame of the extended nonlinear Schrodinger equation with taking into account both the nonlinear dispersion and stimulated Raman-scattering terms are considered. Two classes of a kink–waves are found: one class exists as the result of balance of the stimulated Raman--scattering and nonlinear dispersion, other class – as the result of balance of the stimulated Raman-scattering and second-order linear dispersion. Is show that kink-waves with pedestal exist only in present of the nonlinear dispersion.
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
Громов Е.М., Тютин В.В., Известия высших учебных заведений. Радиофизика 2014 Т. 57 № 4 С. 311-318
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: March 15, 2014
Gromov E., Tyutin V. V., Труды НГТУ им. Р.Е. Алексеева 2011 № 4 (91) С. 47-59
Dynamics of short solitons envelope in the frame of the third-order nonlinear Schrodinger equations taking into account stimulated Raman-scattering and inhomogeneous second– and third-order linear dispersion, nonlinear dispersion and cubic nonlinearity is considered. Compensation of the stimulated Raman-scattering effect by the increasing of the second-order linear dispersion is shown. In adiabatic approximation stable soliton’s propagation ...
Added: May 21, 2012
Gromov E., Tyutin V. V., В кн. : 22-я Всероссийская научно-практическая конференция по графическим информационным технологиям и системам КОГРАФ-2012. : Н. Новгород : Нижегородский государственный технический университет им. Р.Е. Алексеева, 2012. С. 9-12.
В данной работе найдены стационарные волны перепада в рамках расширенного нелинейного уравнения Шредингера, в котором учтены как индуцированное рассеяние Рамана, так и нелинейная дисперсия, но отсутствует линейная дисперсия третьего порядка. ...
Added: July 9, 2012
Gromov E., Journal of Physics: Conference Series 2015 Vol. 574 P. 012032
Dynamics of solitons is considered in an extended nonlinear Schrödinger equation, including a pseudo-stimulated-Raman-scattering (pseudo-SRS) term (scattering on damping low-frequency waves, nonlinear dispersion and inhomogeneity of the spatial second-order dispersion (SOD). It is shown that wave-number downshift by the pseudo-SRS may be compensated by upshift provided by spatially increasing SOD with taking into account nonlinear ...
Added: September 11, 2014
Aseeva N., Gromov E., Tyutin V. V., , in : Models, Algorithms, and Technologies for Network Analysis. Issue 32.: NY : Springer, 2013. P. 1-10.
Dynamics of solitons in the frame of the extended nonlinear Schr¨odinger equation (NSE) taking into account stimulated Raman scattering (SRS) and inhomogeneous second-order dispersion (SOD) is considered. Compensation of soliton Raman self-wave number downshift in media with increasing second-order linear dispersion is shown. Quasi-soliton solution with small wave number spectrum variation, amplitude and extension are ...
Added: February 9, 2013
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
Chabchoub A., Hoffmann N., Onorato M. et al., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2012 Vol. 86 No. 5 P. 156601-1-156601-6
We present experimental observations of the hierarchy of rational breather solutions of the nonlinear Schrodinger equation (NLS) generated in a water wave tank. First, five breathers of the infinite hierarchy have been successfully generated, thus confirming the theoretical predictions of their existence. Breathers of orders higher than five appeared to be unstable relative to the ...
Added: January 18, 2013
Aseeva N., Blyakhman L. G., Gromov E. et al., Труды НГТУ им. Р.Е. Алексеева 2016 № 2 С. 9-16
Цель работы: Рассмотрена динамика солитонов в рамках расширенного нелинейного уравнения Шредингера, учитывающего псевдо-рамановское рассеяние (рассеяние на затухание низкочастотных волнах), нелинейную дисперсию и пространственную неоднородность дисперсии второго порядка.
Результат: Показано, что при наличии нелинейной дисперсии сдвиг вниз спектра волновых чисел солитона, вызванный псевдо-рамановским рассеянием, может быть компенсирован сдвигом спектра вверх, вызванным пространственным уменьшением дисперсии второго порядка. ...
Added: June 24, 2016
Aseeva N., Gromov E., Tyutin V. V., Труды НГТУ им. Р.Е. Алексеева 2012 № 1 (94) С. 42-53
Цель работы: Предложен новый механизм стабилизации коротких солитонов огибающей в рамках нелинейного эволюционного уравнения Шредингера третьего порядка с учетом индуцированного рассеяния Рамана, кубичной нелинейности, нелинейной дисперсии, линейной дисперсии третьего порядка, пространственно неоднородной линейной дисперсии второго порядка и потерь. Научный подход: Исследование проведено с использованием адиабатического приближения, при котором волновой пакет распространяется с сохранением своей формы. ...
Added: June 9, 2012
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
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
Gromov E., Tyutin V. V., Aseeva N., Radiophysics and Quantum Electronics 2012 Vol. 55 No. 3 P. 184-197
We study interaction of different-polarization single-component vector solitons of the envelope function in anisotropic media within the framework of the system of two coupled third-order nonlinear SchrЁodinger equations which allow for the third-order linear dispersion, nonlinear dispersion, nonlinear cross-phase modulation, and cross-nonlinear dispersion. The regimes of mutual reflection, passage, and asymptotic approach of the solitons ...
Added: November 13, 2012
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
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
Aseeva N., Blyakhman L. G., Gromov E. et al., / Cornell University. Series Working papers by Cornell University "Physics:Nonlinear Physics, Pattern and Solitons "arxiv.org"". 2016. No. 1602.08572.
Dynamics of solitons is considered in an extended nonlinear Schrödinger equation, including a pseudo-stimulated-Raman-scattering (pseudo-SRS) term (scattering on damping low-frequency waves, third-order dispersion (TOD) and inhomogeneity of the spatial second-order dispersion (SOD). It is shown that wave-number downshift by the pseudo-SRS may be compensated by upshift provided by spatially increasing SOD with taking into account ...
Added: February 27, 2016
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
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
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
Aseeva N., Gromov E., Tyutin V. V., Physics Letters A 2012 Vol. 376 P. 718-722
An interaction of vector solitons in the frame of coupled third-order nonlinear Schrцdinger equations taking into account third-order linear dispersion, nonlinear dispersion, and cross-phase modulation terms is considered. Phase nature of the solitons' interaction is shown. In particular, dependence of solitons' trajectories on initial distance between solitons is shown. Conditions of reflection and propagation of ...
Added: May 21, 2012
Gromov E.M., Malomed B. A., Communications in Nonlinear Science and Numerical Simulation 2020 Vol. 85 Article 105220
We introduce a nonlinear Schrödinger equation (NLSE) which combines the pseudo-stimulated-Raman-scattering (pseudo-SRS) term, i.e., a non-conservative cubic one with the first spatial derivative, and an external potential, which helps to stabilize solitons against the pseudo-SRS effect. Dynamics of solitons is addressed by means of analytical and numerical methods. The quasi-particle approximation (QPA) for the solitons ...
Added: February 5, 2020
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.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