FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2093292825> ?p ?o ?g. }

• W2093292825 endingPage "116" @default.
• W2093292825 startingPage "97" @default.
• W2093292825 abstract "On the basis of recent investigations, a newly developed analytical procedure is used for constructing a wide class of localized solutions of the controlled three-dimensional (3D) Gross-Pitaevskii equation (GPE) that governs the dynamics of Bose-Einstein condensates (BECs) in the presence of a spatio-temporally varying external potential. The controlled 3D GPE is decomposed into a two-dimensional (2D) linear Schrödinger equation (called the `transverse equation’) and a one-dimensional (1D) nonlinear Schrödinger equation (called the `longitudinal equation’), constrained by a variational condition for the controlling potential. The latter corresponds to the requirement for the minimization of the control operation in the transverse plane. Then, the above class of localized solutions are constructed as the product of the solutions of the transverse and longitudinal equations. A consistency condition between the transverse and longitudinal solutions yields a relationship between the transverse and longitudinal restoring forces produced by the external trapping potential well through a `controlling parameter’ (i.e. the average, with respect to the transverse profile, of the nonlinear inter-atomic interaction term of the GPE). It is found that the longitudinal profile supports localized solutions in the form of bright, dark or grey solitons with time-dependent amplitudes, widths and centroids. The related longitudinal phase is varying in space and time with time-dependent curvature radius and wavenumber. In turn, all the above parameters (i.e. amplitudes, widths, centroids, curvature radius and wavenumbers) can be easily expressed in terms of the controlling parameter. It is also found that the transverse profile has the form of Hermite-Gauss functions (depending on the transverse coordinates), and the explicit spatio-temporal dependence of the controlling potential is self-consistently determined. On the basis of these exact 3D analytical solutions, a stability analysis is carried out, focusing our attention on the physical conditions for having collapsing or non-collapsing solutions." @default.
• W2093292825 created "2016-06-24" @default.
• W2093292825 creator A5020097045 @default.
• W2093292825 creator A5022799771 @default.
• W2093292825 creator A5027844879 @default.
• W2093292825 creator A5028410541 @default.
• W2093292825 creator A5044516242 @default.
• W2093292825 date "2010-02-16" @default.
• W2093292825 modified "2023-09-23" @default.
• W2093292825 title "Stability and collapse of localized solutions of the controlled three-dimensional Gross-Pitaevskii equation" @default.
• W2093292825 cites W1544636356 @default.
• W2093292825 cites W1573639101 @default.
• W2093292825 cites W1603633356 @default.
• W2093292825 cites W1642234848 @default.
• W2093292825 cites W1674623026 @default.
• W2093292825 cites W1965738555 @default.
• W2093292825 cites W1968025455 @default.
• W2093292825 cites W1968143252 @default.
• W2093292825 cites W1973036914 @default.
• W2093292825 cites W1973406635 @default.
• W2093292825 cites W1975055339 @default.
• W2093292825 cites W1979308046 @default.
• W2093292825 cites W1979700341 @default.
• W2093292825 cites W1980982100 @default.
• W2093292825 cites W1981638204 @default.
• W2093292825 cites W1982074886 @default.
• W2093292825 cites W1983515028 @default.
• W2093292825 cites W1987261653 @default.
• W2093292825 cites W1990425824 @default.
• W2093292825 cites W1991602497 @default.
• W2093292825 cites W1993166851 @default.
• W2093292825 cites W1993957475 @default.
• W2093292825 cites W2002295455 @default.
• W2093292825 cites W2012085064 @default.
• W2093292825 cites W2012563033 @default.
• W2093292825 cites W2013137330 @default.
• W2093292825 cites W2015281736 @default.
• W2093292825 cites W2016781607 @default.
• W2093292825 cites W2022949210 @default.
• W2093292825 cites W2023819779 @default.
• W2093292825 cites W2024182480 @default.
• W2093292825 cites W2025839809 @default.
• W2093292825 cites W2026106782 @default.
• W2093292825 cites W2036733217 @default.
• W2093292825 cites W2038249383 @default.
• W2093292825 cites W2038276970 @default.
• W2093292825 cites W2043686530 @default.
• W2093292825 cites W2046671634 @default.
• W2093292825 cites W2048639341 @default.
• W2093292825 cites W2049988249 @default.
• W2093292825 cites W2052425724 @default.
• W2093292825 cites W2054249569 @default.
• W2093292825 cites W2055474320 @default.
• W2093292825 cites W2056652690 @default.
• W2093292825 cites W2059635570 @default.
• W2093292825 cites W2063045829 @default.
• W2093292825 cites W2063306866 @default.
• W2093292825 cites W2067964475 @default.
• W2093292825 cites W2078791968 @default.
• W2093292825 cites W2081069915 @default.
• W2093292825 cites W2083561837 @default.
• W2093292825 cites W2091335878 @default.
• W2093292825 cites W2093810779 @default.
• W2093292825 cites W2094974821 @default.
• W2093292825 cites W2103497623 @default.
• W2093292825 cites W2119823862 @default.
• W2093292825 cites W2120263010 @default.
• W2093292825 cites W2121480427 @default.
• W2093292825 cites W2126443074 @default.
• W2093292825 cites W2132639490 @default.
• W2093292825 cites W2147529986 @default.
• W2093292825 cites W2149828519 @default.
• W2093292825 cites W2167739352 @default.
• W2093292825 cites W2203914564 @default.
• W2093292825 cites W2490059420 @default.
• W2093292825 cites W2502764250 @default.
• W2093292825 cites W2963388978 @default.
• W2093292825 cites W3099064928 @default.
• W2093292825 cites W3099595244 @default.
• W2093292825 doi "https://doi.org/10.1140/epjb/e2010-00052-3" @default.
• W2093292825 hasPublicationYear "2010" @default.
• W2093292825 type Work @default.
• W2093292825 sameAs 2093292825 @default.
• W2093292825 citedByCount "2" @default.
• W2093292825 countsByYear W20932928252014 @default.
• W2093292825 countsByYear W20932928252015 @default.
• W2093292825 crossrefType "journal-article" @default.
• W2093292825 hasAuthorship W2093292825A5020097045 @default.
• W2093292825 hasAuthorship W2093292825A5022799771 @default.
• W2093292825 hasAuthorship W2093292825A5027844879 @default.
• W2093292825 hasAuthorship W2093292825A5028410541 @default.
• W2093292825 hasAuthorship W2093292825A5044516242 @default.
• W2093292825 hasBestOaLocation W20932928252 @default.
• W2093292825 hasConcept C121130766 @default.
• W2093292825 hasConcept C121332964 @default.
• W2093292825 hasConcept C127413603 @default.
• W2093292825 hasConcept C134306372 @default.
• W2093292825 hasConcept C154954056 @default.

• next