Matches in SemOpenAlex for { <https://semopenalex.org/work/W2040803593> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W2040803593 abstract "Abstract A model of a two-dimensional optical waveguide with the Kerr nonlinearity and two transversal (cross-)Bragg gratings (BGs) is considered. Four waves trapped in the waveguide are coupled linearly by reflections on the cross-BG, and nonlinearly by self-phase-modulation, cross-phase-modulation, and four-wave-mixing. One-dimensional gap solitons (GSs) in the model are found by means of the variational approximation and numerical methods, the analytical and numerical results being in good agreement. The solitons fall into three distinct categories, which are identified as symmetric (S), anti-symmetric (anti-S), and asymmetric (aS) ones at the center of the bandgap, and those which are obtained by continuation of these three types in the general case. The stability of the GSs is studied in the spatial domain. All the solitons of the S and anti-S types are unstable (their instability modes are different), while the aS solitons have a well-defined stability region. The latter is identified by means of the Vakhitov–Kolokolov (VK) criterion, which is verified by direct simulations. It is demonstrated too that stable breathers, which are close to strongly asymmetric solitons, readily self-trap from a two-component input that corresponds to a physically relevant boundary condition in the spatial domain (the development of the instability of solitons of the S type gives rise to breathers of a different kind, in which the field periodically switches between two aS configurations that are mirror images to each other). Tilted spatial solitons of the aS type are found too; they are stable for relatively small values of the tilt." @default.
- W2040803593 created "2016-06-24" @default.
- W2040803593 creator A5020427112 @default.
- W2040803593 creator A5090892882 @default.
- W2040803593 date "2004-07-01" @default.
- W2040803593 modified "2023-10-14" @default.
- W2040803593 title "Four-wave solitons in waveguides with a cross-grating" @default.
- W2040803593 cites W1511074012 @default.
- W2040803593 cites W1963596502 @default.
- W2040803593 cites W1964481333 @default.
- W2040803593 cites W1968414619 @default.
- W2040803593 cites W1968562831 @default.
- W2040803593 cites W1972820997 @default.
- W2040803593 cites W1991218554 @default.
- W2040803593 cites W2002697972 @default.
- W2040803593 cites W2006654099 @default.
- W2040803593 cites W2023192289 @default.
- W2040803593 cites W2026828050 @default.
- W2040803593 cites W2037152151 @default.
- W2040803593 cites W2045913700 @default.
- W2040803593 cites W2069967920 @default.
- W2040803593 cites W2079031520 @default.
- W2040803593 cites W2093234799 @default.
- W2040803593 cites W2115142740 @default.
- W2040803593 cites W2117232282 @default.
- W2040803593 cites W2119787992 @default.
- W2040803593 cites W2134740559 @default.
- W2040803593 cites W2144729042 @default.
- W2040803593 cites W2149922642 @default.
- W2040803593 cites W2169723574 @default.
- W2040803593 cites W2239069546 @default.
- W2040803593 cites W3100049599 @default.
- W2040803593 cites W1981199320 @default.
- W2040803593 cites W2040848605 @default.
- W2040803593 doi "https://doi.org/10.1016/j.physleta.2004.05.037" @default.
- W2040803593 hasPublicationYear "2004" @default.
- W2040803593 type Work @default.
- W2040803593 sameAs 2040803593 @default.
- W2040803593 citedByCount "7" @default.
- W2040803593 countsByYear W20408035932013 @default.
- W2040803593 crossrefType "journal-article" @default.
- W2040803593 hasAuthorship W2040803593A5020427112 @default.
- W2040803593 hasAuthorship W2040803593A5090892882 @default.
- W2040803593 hasConcept C120665830 @default.
- W2040803593 hasConcept C121332964 @default.
- W2040803593 hasConcept C123079801 @default.
- W2040803593 hasConcept C125755039 @default.
- W2040803593 hasConcept C134306372 @default.
- W2040803593 hasConcept C158622935 @default.
- W2040803593 hasConcept C182310444 @default.
- W2040803593 hasConcept C200687136 @default.
- W2040803593 hasConcept C202444582 @default.
- W2040803593 hasConcept C207821765 @default.
- W2040803593 hasConcept C24890656 @default.
- W2040803593 hasConcept C2777813233 @default.
- W2040803593 hasConcept C33923547 @default.
- W2040803593 hasConcept C44280652 @default.
- W2040803593 hasConcept C62354387 @default.
- W2040803593 hasConcept C62520636 @default.
- W2040803593 hasConcept C74455749 @default.
- W2040803593 hasConcept C9652623 @default.
- W2040803593 hasConceptScore W2040803593C120665830 @default.
- W2040803593 hasConceptScore W2040803593C121332964 @default.
- W2040803593 hasConceptScore W2040803593C123079801 @default.
- W2040803593 hasConceptScore W2040803593C125755039 @default.
- W2040803593 hasConceptScore W2040803593C134306372 @default.
- W2040803593 hasConceptScore W2040803593C158622935 @default.
- W2040803593 hasConceptScore W2040803593C182310444 @default.
- W2040803593 hasConceptScore W2040803593C200687136 @default.
- W2040803593 hasConceptScore W2040803593C202444582 @default.
- W2040803593 hasConceptScore W2040803593C207821765 @default.
- W2040803593 hasConceptScore W2040803593C24890656 @default.
- W2040803593 hasConceptScore W2040803593C2777813233 @default.
- W2040803593 hasConceptScore W2040803593C33923547 @default.
- W2040803593 hasConceptScore W2040803593C44280652 @default.
- W2040803593 hasConceptScore W2040803593C62354387 @default.
- W2040803593 hasConceptScore W2040803593C62520636 @default.
- W2040803593 hasConceptScore W2040803593C74455749 @default.
- W2040803593 hasConceptScore W2040803593C9652623 @default.
- W2040803593 hasLocation W20408035931 @default.
- W2040803593 hasOpenAccess W2040803593 @default.
- W2040803593 hasPrimaryLocation W20408035931 @default.
- W2040803593 hasRelatedWork W1849535009 @default.
- W2040803593 hasRelatedWork W1965007223 @default.
- W2040803593 hasRelatedWork W1970754874 @default.
- W2040803593 hasRelatedWork W1999468533 @default.
- W2040803593 hasRelatedWork W2029028893 @default.
- W2040803593 hasRelatedWork W2122805290 @default.
- W2040803593 hasRelatedWork W2155174779 @default.
- W2040803593 hasRelatedWork W2170978442 @default.
- W2040803593 hasRelatedWork W2794656262 @default.
- W2040803593 hasRelatedWork W2914598799 @default.
- W2040803593 isParatext "false" @default.
- W2040803593 isRetracted "false" @default.
- W2040803593 magId "2040803593" @default.
- W2040803593 workType "article" @default.