Matches in SemOpenAlex for { <https://semopenalex.org/work/W3104549896> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W3104549896 abstract "We study asymptotic reductions and solitary waves of a weakly nonlocal defocusing nonlinear Schrodinger (NLS) model. The hydrodynamic form of the latter is analyzed by means of multiscale expansion methods. To the leading-order of approximation (where only the first moment of the response function is present), we show that solitary waves, in the form of dark solitons, are governed by an effective Boussinesq/Benney- Luke (BBL) equation, which describes bidirectional waves in shallow water. Then, for long times, we reduce the BBL equation to a pair of Korteweg-de Vries (KdV) equations for right- and left-going waves, and show that the BBL solitary wave transforms into a KdV soliton. In addition, to the next order of approximation (where both the first and second moment of the response function are present), we find that dark solitons are governed by a higher-order perturbed KdV (pKdV) equation, which has been used to describe ion-acoustic solitons in plasmas and water waves in the presence of higherorder effects. The pKdV equation is approximated by a higher-order integrable system and, as a result, only insubstantial changes in the soliton shape and velocity are found, while no radiation tails (in this effective KdV picture) are produced." @default.
- W3104549896 created "2020-11-23" @default.
- W3104549896 creator A5022404991 @default.
- W3104549896 creator A5041797013 @default.
- W3104549896 creator A5044231258 @default.
- W3104549896 creator A5091821223 @default.
- W3104549896 date "2020-11-18" @default.
- W3104549896 modified "2023-09-23" @default.
- W3104549896 title "Universal reductions and solitary waves of weakly nonlocal defocusing nonlinear Schrodinger equations" @default.
- W3104549896 cites W1561892995 @default.
- W3104549896 cites W1676457984 @default.
- W3104549896 cites W3038282287 @default.
- W3104549896 cites W598478852 @default.
- W3104549896 cites W630319947 @default.
- W3104549896 doi "https://doi.org/10.48550/arxiv.2011.09651" @default.
- W3104549896 hasPublicationYear "2020" @default.
- W3104549896 type Work @default.
- W3104549896 sameAs 3104549896 @default.
- W3104549896 citedByCount "0" @default.
- W3104549896 crossrefType "posted-content" @default.
- W3104549896 hasAuthorship W3104549896A5022404991 @default.
- W3104549896 hasAuthorship W3104549896A5041797013 @default.
- W3104549896 hasAuthorship W3104549896A5044231258 @default.
- W3104549896 hasAuthorship W3104549896A5091821223 @default.
- W3104549896 hasBestOaLocation W31045498961 @default.
- W3104549896 hasConcept C10138342 @default.
- W3104549896 hasConcept C121332964 @default.
- W3104549896 hasConcept C134306372 @default.
- W3104549896 hasConcept C14036430 @default.
- W3104549896 hasConcept C146630112 @default.
- W3104549896 hasConcept C158622935 @default.
- W3104549896 hasConcept C162324750 @default.
- W3104549896 hasConcept C179254644 @default.
- W3104549896 hasConcept C182306322 @default.
- W3104549896 hasConcept C200741047 @default.
- W3104549896 hasConcept C3079626 @default.
- W3104549896 hasConcept C33923547 @default.
- W3104549896 hasConcept C37914503 @default.
- W3104549896 hasConcept C62520636 @default.
- W3104549896 hasConcept C74650414 @default.
- W3104549896 hasConcept C78458016 @default.
- W3104549896 hasConcept C86803240 @default.
- W3104549896 hasConcept C87651913 @default.
- W3104549896 hasConceptScore W3104549896C10138342 @default.
- W3104549896 hasConceptScore W3104549896C121332964 @default.
- W3104549896 hasConceptScore W3104549896C134306372 @default.
- W3104549896 hasConceptScore W3104549896C14036430 @default.
- W3104549896 hasConceptScore W3104549896C146630112 @default.
- W3104549896 hasConceptScore W3104549896C158622935 @default.
- W3104549896 hasConceptScore W3104549896C162324750 @default.
- W3104549896 hasConceptScore W3104549896C179254644 @default.
- W3104549896 hasConceptScore W3104549896C182306322 @default.
- W3104549896 hasConceptScore W3104549896C200741047 @default.
- W3104549896 hasConceptScore W3104549896C3079626 @default.
- W3104549896 hasConceptScore W3104549896C33923547 @default.
- W3104549896 hasConceptScore W3104549896C37914503 @default.
- W3104549896 hasConceptScore W3104549896C62520636 @default.
- W3104549896 hasConceptScore W3104549896C74650414 @default.
- W3104549896 hasConceptScore W3104549896C78458016 @default.
- W3104549896 hasConceptScore W3104549896C86803240 @default.
- W3104549896 hasConceptScore W3104549896C87651913 @default.
- W3104549896 hasLocation W31045498961 @default.
- W3104549896 hasOpenAccess W3104549896 @default.
- W3104549896 hasPrimaryLocation W31045498961 @default.
- W3104549896 hasRelatedWork W20437957 @default.
- W3104549896 hasRelatedWork W22005933 @default.
- W3104549896 hasRelatedWork W23988111 @default.
- W3104549896 hasRelatedWork W2436912 @default.
- W3104549896 hasRelatedWork W31278 @default.
- W3104549896 hasRelatedWork W32245421 @default.
- W3104549896 hasRelatedWork W33025434 @default.
- W3104549896 hasRelatedWork W36042086 @default.
- W3104549896 hasRelatedWork W37736783 @default.
- W3104549896 hasRelatedWork W6096220 @default.
- W3104549896 isParatext "false" @default.
- W3104549896 isRetracted "false" @default.
- W3104549896 magId "3104549896" @default.
- W3104549896 workType "article" @default.