Matches in SemOpenAlex for { <https://semopenalex.org/work/W2008228928> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2008228928 endingPage "54" @default.
- W2008228928 startingPage "47" @default.
- W2008228928 abstract "We demonstrate that a system of linearly coupled Korteweg-de Vries equations, which inter alia is a general model of resonantly coupled internal waves in a stratified fluid, can give rise to broad envelope solitons produced by a double phase-and group-velocity resonance between the fundamental and second harmonics for certain wavenumbers. We derive asymptotic equations for the amplitudes of the two harmonics, which are identical to the second-harmonic-generation equations in a diffractive medium, that have recently attracted a lot of attention in nonlinear optics and give rise to the so-called parametric solitons. To check if the predicted solitons are close to exact solutions of the coupled Korteweg-de Vries equations, we perform direct numerical simulations, with initial conditions suggested by the above-mentioned parametric-soliton solution to the asymptotic equations. Since the latter is known only in a numerical form, we use for them a recently developed analytical variational approximation. As a result, we observe very long-lived steadily propagating wave packets generated by these initial conditions. Thus we find a physical system that may allow experimental observation of propagating parametric solitons, while in nonlinear optics they are observed only as spatial solitons." @default.
- W2008228928 created "2016-06-24" @default.
- W2008228928 creator A5004015906 @default.
- W2008228928 creator A5075677942 @default.
- W2008228928 creator A5090892882 @default.
- W2008228928 date "1997-03-01" @default.
- W2008228928 modified "2023-09-27" @default.
- W2008228928 title "Parametric envelope solitons in coupled Korteweg-de Vries equations" @default.
- W2008228928 cites W1986138859 @default.
- W2008228928 cites W1999606451 @default.
- W2008228928 cites W1999966060 @default.
- W2008228928 cites W2001527277 @default.
- W2008228928 cites W2006124215 @default.
- W2008228928 cites W2010647680 @default.
- W2008228928 cites W2014989980 @default.
- W2008228928 cites W2024747269 @default.
- W2008228928 cites W2025902643 @default.
- W2008228928 cites W2063167941 @default.
- W2008228928 cites W2079176659 @default.
- W2008228928 cites W2090529081 @default.
- W2008228928 cites W2128306717 @default.
- W2008228928 cites W2273286715 @default.
- W2008228928 cites W83201085 @default.
- W2008228928 doi "https://doi.org/10.1016/s0375-9601(97)00021-2" @default.
- W2008228928 hasPublicationYear "1997" @default.
- W2008228928 type Work @default.
- W2008228928 sameAs 2008228928 @default.
- W2008228928 citedByCount "27" @default.
- W2008228928 countsByYear W20082289282012 @default.
- W2008228928 countsByYear W20082289282015 @default.
- W2008228928 countsByYear W20082289282017 @default.
- W2008228928 countsByYear W20082289282019 @default.
- W2008228928 crossrefType "journal-article" @default.
- W2008228928 hasAuthorship W2008228928A5004015906 @default.
- W2008228928 hasAuthorship W2008228928A5075677942 @default.
- W2008228928 hasAuthorship W2008228928A5090892882 @default.
- W2008228928 hasConcept C105795698 @default.
- W2008228928 hasConcept C106978608 @default.
- W2008228928 hasConcept C117251300 @default.
- W2008228928 hasConcept C121332964 @default.
- W2008228928 hasConcept C127934551 @default.
- W2008228928 hasConcept C146630112 @default.
- W2008228928 hasConcept C158622935 @default.
- W2008228928 hasConcept C164466805 @default.
- W2008228928 hasConcept C165801399 @default.
- W2008228928 hasConcept C180205008 @default.
- W2008228928 hasConcept C188414643 @default.
- W2008228928 hasConcept C3079626 @default.
- W2008228928 hasConcept C33923547 @default.
- W2008228928 hasConcept C41008148 @default.
- W2008228928 hasConcept C554190296 @default.
- W2008228928 hasConcept C62520636 @default.
- W2008228928 hasConcept C65155139 @default.
- W2008228928 hasConcept C74650414 @default.
- W2008228928 hasConcept C76155785 @default.
- W2008228928 hasConcept C87651913 @default.
- W2008228928 hasConceptScore W2008228928C105795698 @default.
- W2008228928 hasConceptScore W2008228928C106978608 @default.
- W2008228928 hasConceptScore W2008228928C117251300 @default.
- W2008228928 hasConceptScore W2008228928C121332964 @default.
- W2008228928 hasConceptScore W2008228928C127934551 @default.
- W2008228928 hasConceptScore W2008228928C146630112 @default.
- W2008228928 hasConceptScore W2008228928C158622935 @default.
- W2008228928 hasConceptScore W2008228928C164466805 @default.
- W2008228928 hasConceptScore W2008228928C165801399 @default.
- W2008228928 hasConceptScore W2008228928C180205008 @default.
- W2008228928 hasConceptScore W2008228928C188414643 @default.
- W2008228928 hasConceptScore W2008228928C3079626 @default.
- W2008228928 hasConceptScore W2008228928C33923547 @default.
- W2008228928 hasConceptScore W2008228928C41008148 @default.
- W2008228928 hasConceptScore W2008228928C554190296 @default.
- W2008228928 hasConceptScore W2008228928C62520636 @default.
- W2008228928 hasConceptScore W2008228928C65155139 @default.
- W2008228928 hasConceptScore W2008228928C74650414 @default.
- W2008228928 hasConceptScore W2008228928C76155785 @default.
- W2008228928 hasConceptScore W2008228928C87651913 @default.
- W2008228928 hasIssue "1-2" @default.
- W2008228928 hasLocation W20082289281 @default.
- W2008228928 hasOpenAccess W2008228928 @default.
- W2008228928 hasPrimaryLocation W20082289281 @default.
- W2008228928 hasRelatedWork W1665440865 @default.
- W2008228928 hasRelatedWork W1971534878 @default.
- W2008228928 hasRelatedWork W1978205432 @default.
- W2008228928 hasRelatedWork W1982989330 @default.
- W2008228928 hasRelatedWork W1999124589 @default.
- W2008228928 hasRelatedWork W2012745698 @default.
- W2008228928 hasRelatedWork W2072157567 @default.
- W2008228928 hasRelatedWork W2304829124 @default.
- W2008228928 hasRelatedWork W2314594474 @default.
- W2008228928 hasRelatedWork W2886712262 @default.
- W2008228928 hasVolume "227" @default.
- W2008228928 isParatext "false" @default.
- W2008228928 isRetracted "false" @default.
- W2008228928 magId "2008228928" @default.
- W2008228928 workType "article" @default.