Matches in SemOpenAlex for { <https://semopenalex.org/work/W2061665453> ?p ?o ?g. }
Showing items 1 to 74 of
74
with 100 items per page.
- W2061665453 endingPage "2014" @default.
- W2061665453 startingPage "2005" @default.
- W2061665453 abstract "We consider the asymptotic limit as the independent variable approaches infinity, of the fourth-order second Painlevé equation obtained from a hierarchy based on the Jimbo-Miwa Lax pair. We prove that there exist two families of algebraic formal power series solutions and that there exist true solutions with these behaviours in sectors <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=sigma> <mml:semantics> <mml:mi>σ<!-- σ --></mml:mi> <mml:annotation encoding=application/x-tex>sigma</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of the complex plane. Given <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=sigma> <mml:semantics> <mml:mi>σ<!-- σ --></mml:mi> <mml:annotation encoding=application/x-tex>sigma</mml:annotation> </mml:semantics> </mml:math> </inline-formula> we also prove that there exists a wider sector <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=normal upper Sigma superset-of sigma> <mml:semantics> <mml:mrow> <mml:mi mathvariant=normal>Σ<!-- Σ --></mml:mi> <mml:mo>⊃<!-- ⊃ --></mml:mo> <mml:mi>σ<!-- σ --></mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>Sigma supset sigma</mml:annotation> </mml:semantics> </mml:math> </inline-formula> in which there exists a unique solution in each family. These provide the analogue of Boutroux’s tri-tronquée solutions for the classical second Painlevé equation. Surprisingly, they also extend beyond the tri-tronquée solutions in the sense that we find penta-, hepta-, ennea-, and hendeca-tronquée solutions." @default.
- W2061665453 created "2016-06-24" @default.
- W2061665453 creator A5027615162 @default.
- W2061665453 creator A5087875378 @default.
- W2061665453 date "2009-01-16" @default.
- W2061665453 modified "2023-09-25" @default.
- W2061665453 title "Existence and uniqueness of Tronquée solutions of the fourth-order Jimbo-Miwa second Painlevé equation" @default.
- W2061665453 cites W103267628 @default.
- W2061665453 cites W1512385898 @default.
- W2061665453 cites W1981532690 @default.
- W2061665453 cites W1993029744 @default.
- W2061665453 cites W1998795487 @default.
- W2061665453 cites W2022292785 @default.
- W2061665453 cites W2028559700 @default.
- W2061665453 cites W2050349771 @default.
- W2061665453 cites W2050776189 @default.
- W2061665453 cites W2086889560 @default.
- W2061665453 cites W2091529939 @default.
- W2061665453 cites W2096951672 @default.
- W2061665453 cites W2263374656 @default.
- W2061665453 cites W4255139586 @default.
- W2061665453 doi "https://doi.org/10.1090/s0002-9939-09-09819-0" @default.
- W2061665453 hasPublicationYear "2009" @default.
- W2061665453 type Work @default.
- W2061665453 sameAs 2061665453 @default.
- W2061665453 citedByCount "3" @default.
- W2061665453 countsByYear W20616654532014 @default.
- W2061665453 countsByYear W20616654532017 @default.
- W2061665453 countsByYear W20616654532018 @default.
- W2061665453 crossrefType "journal-article" @default.
- W2061665453 hasAuthorship W2061665453A5027615162 @default.
- W2061665453 hasAuthorship W2061665453A5087875378 @default.
- W2061665453 hasBestOaLocation W20616654531 @default.
- W2061665453 hasConcept C103278499 @default.
- W2061665453 hasConcept C11413529 @default.
- W2061665453 hasConcept C115961682 @default.
- W2061665453 hasConcept C154945302 @default.
- W2061665453 hasConcept C18903297 @default.
- W2061665453 hasConcept C2776321320 @default.
- W2061665453 hasConcept C2777299769 @default.
- W2061665453 hasConcept C33923547 @default.
- W2061665453 hasConcept C41008148 @default.
- W2061665453 hasConcept C86803240 @default.
- W2061665453 hasConceptScore W2061665453C103278499 @default.
- W2061665453 hasConceptScore W2061665453C11413529 @default.
- W2061665453 hasConceptScore W2061665453C115961682 @default.
- W2061665453 hasConceptScore W2061665453C154945302 @default.
- W2061665453 hasConceptScore W2061665453C18903297 @default.
- W2061665453 hasConceptScore W2061665453C2776321320 @default.
- W2061665453 hasConceptScore W2061665453C2777299769 @default.
- W2061665453 hasConceptScore W2061665453C33923547 @default.
- W2061665453 hasConceptScore W2061665453C41008148 @default.
- W2061665453 hasConceptScore W2061665453C86803240 @default.
- W2061665453 hasIssue "6" @default.
- W2061665453 hasLocation W20616654531 @default.
- W2061665453 hasOpenAccess W2061665453 @default.
- W2061665453 hasPrimaryLocation W20616654531 @default.
- W2061665453 hasRelatedWork W151193258 @default.
- W2061665453 hasRelatedWork W1529400504 @default.
- W2061665453 hasRelatedWork W1607472309 @default.
- W2061665453 hasRelatedWork W1871911958 @default.
- W2061665453 hasRelatedWork W1892467659 @default.
- W2061665453 hasRelatedWork W2348710178 @default.
- W2061665453 hasRelatedWork W2349865494 @default.
- W2061665453 hasRelatedWork W2401909756 @default.
- W2061665453 hasRelatedWork W2808586768 @default.
- W2061665453 hasRelatedWork W2998403542 @default.
- W2061665453 hasVolume "137" @default.
- W2061665453 isParatext "false" @default.
- W2061665453 isRetracted "false" @default.
- W2061665453 magId "2061665453" @default.
- W2061665453 workType "article" @default.