Zobrazeno 1 - 10
of 120
pro vyhledávání: '"Vladimir N Serkin"'
Publikováno v:
Optik. 184:446-456
It is usually believed that solitons always expand due to absorption, and vice versa, they can be significantly compressed due to amplification. Contrary to this usual opinion, we demonstrate that the higher-order nonlinearity opens the possibility t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::172521ed184012f13aad072a44587963
https://doi.org/10.1016/j.ijleo.2019.04.103
https://doi.org/10.1016/j.ijleo.2019.04.103
Publikováno v:
Optik. 182:148-158
Using the complimentary interplay between direct computer experiments and the generalized Karpman–Solov’ev adiabatic soliton perturbation theory, we find remarkable empirical formulae describing completely, qualitatively and quantitatively, the i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::532c02225e1b1e5f3487e559809bbfd4
https://doi.org/10.1016/j.ijleo.2018.12.167
https://doi.org/10.1016/j.ijleo.2018.12.167
Publikováno v:
Optik. 181:99-104
We analyze the most important ideas of the Karpman-Maslov-Solov’ev soliton perturbation theory, and based on it, we solve analytically the long-standing problem of the Schrodinger soliton interactions in the systems with distributed losses or gain.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a2ea4fe35049cc26f6c97eb55a496d7
https://doi.org/10.1016/j.ijleo.2018.11.137
https://doi.org/10.1016/j.ijleo.2018.11.137
Autor:
T.L. Belyaeva, Vladimir N Serkin
Publikováno v:
Optik. 179:726-732
We present the generalized Tappert transformation for the higher-order nonlinear Schrodinger equation model of femtosecond nonlinear optics, in which the gravitational-like potential is introduced with the aim of the effective parameterization of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2fe307704d39768b08121adf844968b4
https://doi.org/10.1016/j.ijleo.2018.11.012
https://doi.org/10.1016/j.ijleo.2018.11.012
Autor:
T.L. Belyaeva, Vladimir N Serkin
Publikováno v:
Optik. 176:38-48
Based on the symmetry reduction procedures, we introduce nonlinear solitonic analogues of coherent and squeezed states both for self-focusing and self-defocusing nonautonomous NLSE models with harmonic oscillator confining potentials. We demonstrate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::13ad0303aca021ff7852c332657bb3a3
https://doi.org/10.1016/j.ijleo.2018.09.059
https://doi.org/10.1016/j.ijleo.2018.09.059
Autor:
T.L. Belyaeva, Vladimir N Serkin
Publikováno v:
Optik. 174:259-265
In the framework of the nonautonomous exactly integrable higher-order equations belonging to the Ablowitz–Kaup–Newell–Segur (AKNS) hierarchy, the method for systematic construction of the bound soliton states (localized breathers on the zero ba
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::47043b87a2dbd12636362ebeffa3997c
https://doi.org/10.1016/j.ijleo.2018.08.034
https://doi.org/10.1016/j.ijleo.2018.08.034
Autor:
T.L. Belyaeva, Vladimir N Serkin
Publikováno v:
Optik. 175:17-27
We apply the method for systematic construction of the two-soliton (and in principal, N-soliton) breather solutions on the zero background to the Lakshmanan–Porsezian–Daniel model with varying dispersion and nonlinearity, gain or loss, and derive
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::03ec8ce2f3b786bb11d87df72c411111
https://doi.org/10.1016/j.ijleo.2018.08.140
https://doi.org/10.1016/j.ijleo.2018.08.140
Autor:
T.L. Belyaeva, Vladimir N Serkin
Publikováno v:
Optik. 172:1117-1122
We reveal novel unexpected conditions for soliton breathers of the generalized complex modified Korteweg–de Vries equation with variable coefficients and the loss (or gain) term (vc cmKdV). Novel relations between spectral parameters of two soliton
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::be487807e037c4848a774fc220ca7240
https://doi.org/10.1016/j.ijleo.2018.07.139
https://doi.org/10.1016/j.ijleo.2018.07.139
Autor:
Vladimir N Serkin
Publikováno v:
Optik. 173:1-12
Discovered by Busch and Anglin, the most important and puzzling nonlinear effect for solitons in external potentials lies in the fact that in a harmonic oscillator potential, a dark soliton oscillates with a frequency that is smaller by a factor of 2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b81cca494d6d5fc6a1e029e99f3ceabb
https://doi.org/10.1016/j.ijleo.2018.08.002
https://doi.org/10.1016/j.ijleo.2018.08.002
Autor:
Vladimir N Serkin, T.L. Belyaeva
Publikováno v:
Optik. 168:827-838
We consider optimal control methods for dark solitons and their higher-order states based on the completely integrable nonautonomous nonlinear Schrodinger equation (NLSE) models with varying gravitational-like and harmonic oscillator potentials, and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cc54d6765b4a5dd6d72ac0cd85ddd209
https://doi.org/10.1016/j.ijleo.2018.05.003
https://doi.org/10.1016/j.ijleo.2018.05.003