Matches in SemOpenAlex for { <https://semopenalex.org/work/W3197671092> ?p ?o ?g. }
- W3197671092 endingPage "125635" @default.
- W3197671092 startingPage "125635" @default.
- W3197671092 abstract "In this paper, we study the initial value problem for focusing nonlinear Schrödinger (fNLS) equation with non-generic weighted Sobolev initial data that allows for the presence of high-order discrete spectrum. More precisely, we show how to characterize the properties of the eigenfunctions and scattering coefficients in the presence of high-order poles; Further the initial value problem is formulated into an appropriate enlarged RH problem, which is transformed into a solvable model after a series of deformations. Finally, we obtain the asymptotic expansion of the solution of the fNLS equation in any fixed space-time cone:S(x1,x2,v1,v2):={(x,t)∈R2:x=x0+vt,x0∈[x1,x2], v∈[v1,v2]}. Our result is a verification of the soliton resolution conjecture for the fNLS equation in the solitonic region with the presence of high-order discrete spectrum. The leading order term of this solution includes a high-order pole-soliton whose parameters are affected by soliton-soliton interactions through the cone and soliton-radiation interactions on continuous spectrum. The error term is up to O(t−3/4) which comes from the corresponding ∂¯ equation." @default.
- W3197671092 created "2021-09-13" @default.
- W3197671092 creator A5015323490 @default.
- W3197671092 creator A5029595402 @default.
- W3197671092 creator A5079801539 @default.
- W3197671092 date "2022-01-01" @default.
- W3197671092 modified "2023-10-13" @default.
- W3197671092 title "Long time asymptotics for the focusing nonlinear Schrödinger equation in the solitonic region with the presence of high-order discrete spectrum" @default.
- W3197671092 cites W1631607997 @default.
- W3197671092 cites W2014646592 @default.
- W3197671092 cites W2023921325 @default.
- W3197671092 cites W2056188261 @default.
- W3197671092 cites W2062565740 @default.
- W3197671092 cites W2123457371 @default.
- W3197671092 cites W2140334330 @default.
- W3197671092 cites W2161650112 @default.
- W3197671092 cites W2314307938 @default.
- W3197671092 cites W2317652286 @default.
- W3197671092 cites W2962902978 @default.
- W3197671092 cites W2963902029 @default.
- W3197671092 cites W2963947432 @default.
- W3197671092 cites W3088093082 @default.
- W3197671092 cites W3102838275 @default.
- W3197671092 cites W3105152588 @default.
- W3197671092 cites W3105357345 @default.
- W3197671092 cites W3127284495 @default.
- W3197671092 cites W3134376241 @default.
- W3197671092 cites W3134651909 @default.
- W3197671092 cites W3162473817 @default.
- W3197671092 cites W3169740474 @default.
- W3197671092 cites W577914832 @default.
- W3197671092 cites W1970281049 @default.
- W3197671092 doi "https://doi.org/10.1016/j.jmaa.2021.125635" @default.
- W3197671092 hasPublicationYear "2022" @default.
- W3197671092 type Work @default.
- W3197671092 sameAs 3197671092 @default.
- W3197671092 citedByCount "0" @default.
- W3197671092 crossrefType "journal-article" @default.
- W3197671092 hasAuthorship W3197671092A5015323490 @default.
- W3197671092 hasAuthorship W3197671092A5029595402 @default.
- W3197671092 hasAuthorship W3197671092A5079801539 @default.
- W3197671092 hasBestOaLocation W31976710922 @default.
- W3197671092 hasConcept C10138342 @default.
- W3197671092 hasConcept C11413529 @default.
- W3197671092 hasConcept C11683690 @default.
- W3197671092 hasConcept C121332964 @default.
- W3197671092 hasConcept C128803854 @default.
- W3197671092 hasConcept C134306372 @default.
- W3197671092 hasConcept C138885662 @default.
- W3197671092 hasConcept C156778621 @default.
- W3197671092 hasConcept C158622935 @default.
- W3197671092 hasConcept C158693339 @default.
- W3197671092 hasConcept C162324750 @default.
- W3197671092 hasConcept C182306322 @default.
- W3197671092 hasConcept C202444582 @default.
- W3197671092 hasConcept C26955809 @default.
- W3197671092 hasConcept C2778572836 @default.
- W3197671092 hasConcept C2780990831 @default.
- W3197671092 hasConcept C30014739 @default.
- W3197671092 hasConcept C33923547 @default.
- W3197671092 hasConcept C37914503 @default.
- W3197671092 hasConcept C41895202 @default.
- W3197671092 hasConcept C62520636 @default.
- W3197671092 hasConcept C63036615 @default.
- W3197671092 hasConcept C80845027 @default.
- W3197671092 hasConcept C83774755 @default.
- W3197671092 hasConcept C87651913 @default.
- W3197671092 hasConcept C99730327 @default.
- W3197671092 hasConceptScore W3197671092C10138342 @default.
- W3197671092 hasConceptScore W3197671092C11413529 @default.
- W3197671092 hasConceptScore W3197671092C11683690 @default.
- W3197671092 hasConceptScore W3197671092C121332964 @default.
- W3197671092 hasConceptScore W3197671092C128803854 @default.
- W3197671092 hasConceptScore W3197671092C134306372 @default.
- W3197671092 hasConceptScore W3197671092C138885662 @default.
- W3197671092 hasConceptScore W3197671092C156778621 @default.
- W3197671092 hasConceptScore W3197671092C158622935 @default.
- W3197671092 hasConceptScore W3197671092C158693339 @default.
- W3197671092 hasConceptScore W3197671092C162324750 @default.
- W3197671092 hasConceptScore W3197671092C182306322 @default.
- W3197671092 hasConceptScore W3197671092C202444582 @default.
- W3197671092 hasConceptScore W3197671092C26955809 @default.
- W3197671092 hasConceptScore W3197671092C2778572836 @default.
- W3197671092 hasConceptScore W3197671092C2780990831 @default.
- W3197671092 hasConceptScore W3197671092C30014739 @default.
- W3197671092 hasConceptScore W3197671092C33923547 @default.
- W3197671092 hasConceptScore W3197671092C37914503 @default.
- W3197671092 hasConceptScore W3197671092C41895202 @default.
- W3197671092 hasConceptScore W3197671092C62520636 @default.
- W3197671092 hasConceptScore W3197671092C63036615 @default.
- W3197671092 hasConceptScore W3197671092C80845027 @default.
- W3197671092 hasConceptScore W3197671092C83774755 @default.
- W3197671092 hasConceptScore W3197671092C87651913 @default.
- W3197671092 hasConceptScore W3197671092C99730327 @default.
- W3197671092 hasFunder F4320321001 @default.
- W3197671092 hasIssue "2" @default.
- W3197671092 hasLocation W31976710921 @default.
- W3197671092 hasLocation W31976710922 @default.