Matches in SemOpenAlex for { <https://semopenalex.org/work/W2064517415> ?p ?o ?g. }
- W2064517415 endingPage "125" @default.
- W2064517415 startingPage "111" @default.
- W2064517415 abstract "We introduce a new class of symmetries, that strictly includes Lie symmetries, for which there exists an algorithm that lets us reduce the order of an ordinary differential equation. Many of the known order-reduction processes, that are not consequence of the existence of Lie symmetries, are a consequence of the invariance of the equation under vector fields of the new class. These vector fields must satisfy a new prolongation formula and there must exist a procedure for determining the vector fields of this class that lead to an equation invariant. We have also found some whose Lie symmetries are trivial, have no obvious order reductions, but can be completely integrated by using the new class of symmetries." @default.
- W2064517415 created "2016-06-24" @default.
- W2064517415 creator A5008751152 @default.
- W2064517415 creator A5079558054 @default.
- W2064517415 date "2001-04-01" @default.
- W2064517415 modified "2023-10-14" @default.
- W2064517415 title "New methods of reduction for ordinary differential equations" @default.
- W2064517415 cites W1511670827 @default.
- W2064517415 cites W154916285 @default.
- W2064517415 cites W1573927207 @default.
- W2064517415 cites W1985167223 @default.
- W2064517415 cites W1990384481 @default.
- W2064517415 cites W2034150183 @default.
- W2064517415 cites W2134709733 @default.
- W2064517415 cites W2145299246 @default.
- W2064517415 cites W2153174919 @default.
- W2064517415 doi "https://doi.org/10.1093/imamat/66.2.111" @default.
- W2064517415 hasPublicationYear "2001" @default.
- W2064517415 type Work @default.
- W2064517415 sameAs 2064517415 @default.
- W2064517415 citedByCount "150" @default.
- W2064517415 countsByYear W20645174152012 @default.
- W2064517415 countsByYear W20645174152013 @default.
- W2064517415 countsByYear W20645174152014 @default.
- W2064517415 countsByYear W20645174152015 @default.
- W2064517415 countsByYear W20645174152016 @default.
- W2064517415 countsByYear W20645174152017 @default.
- W2064517415 countsByYear W20645174152018 @default.
- W2064517415 countsByYear W20645174152019 @default.
- W2064517415 countsByYear W20645174152020 @default.
- W2064517415 countsByYear W20645174152021 @default.
- W2064517415 countsByYear W20645174152022 @default.
- W2064517415 countsByYear W20645174152023 @default.
- W2064517415 crossrefType "journal-article" @default.
- W2064517415 hasAuthorship W2064517415A5008751152 @default.
- W2064517415 hasAuthorship W2064517415A5079558054 @default.
- W2064517415 hasConcept C111335779 @default.
- W2064517415 hasConcept C134306372 @default.
- W2064517415 hasConcept C136119220 @default.
- W2064517415 hasConcept C14344131 @default.
- W2064517415 hasConcept C154945302 @default.
- W2064517415 hasConcept C163105828 @default.
- W2064517415 hasConcept C186219872 @default.
- W2064517415 hasConcept C190470478 @default.
- W2064517415 hasConcept C202444582 @default.
- W2064517415 hasConcept C203946495 @default.
- W2064517415 hasConcept C2524010 @default.
- W2064517415 hasConcept C2777212361 @default.
- W2064517415 hasConcept C28826006 @default.
- W2064517415 hasConcept C33923547 @default.
- W2064517415 hasConcept C37914503 @default.
- W2064517415 hasConcept C41008148 @default.
- W2064517415 hasConcept C51544822 @default.
- W2064517415 hasConcept C73648015 @default.
- W2064517415 hasConcept C78045399 @default.
- W2064517415 hasConcept C91188154 @default.
- W2064517415 hasConcept C96469262 @default.
- W2064517415 hasConcept C99775784 @default.
- W2064517415 hasConceptScore W2064517415C111335779 @default.
- W2064517415 hasConceptScore W2064517415C134306372 @default.
- W2064517415 hasConceptScore W2064517415C136119220 @default.
- W2064517415 hasConceptScore W2064517415C14344131 @default.
- W2064517415 hasConceptScore W2064517415C154945302 @default.
- W2064517415 hasConceptScore W2064517415C163105828 @default.
- W2064517415 hasConceptScore W2064517415C186219872 @default.
- W2064517415 hasConceptScore W2064517415C190470478 @default.
- W2064517415 hasConceptScore W2064517415C202444582 @default.
- W2064517415 hasConceptScore W2064517415C203946495 @default.
- W2064517415 hasConceptScore W2064517415C2524010 @default.
- W2064517415 hasConceptScore W2064517415C2777212361 @default.
- W2064517415 hasConceptScore W2064517415C28826006 @default.
- W2064517415 hasConceptScore W2064517415C33923547 @default.
- W2064517415 hasConceptScore W2064517415C37914503 @default.
- W2064517415 hasConceptScore W2064517415C41008148 @default.
- W2064517415 hasConceptScore W2064517415C51544822 @default.
- W2064517415 hasConceptScore W2064517415C73648015 @default.
- W2064517415 hasConceptScore W2064517415C78045399 @default.
- W2064517415 hasConceptScore W2064517415C91188154 @default.
- W2064517415 hasConceptScore W2064517415C96469262 @default.
- W2064517415 hasConceptScore W2064517415C99775784 @default.
- W2064517415 hasIssue "2" @default.
- W2064517415 hasLocation W20645174151 @default.
- W2064517415 hasOpenAccess W2064517415 @default.
- W2064517415 hasPrimaryLocation W20645174151 @default.
- W2064517415 hasRelatedWork W1865549704 @default.
- W2064517415 hasRelatedWork W2030417252 @default.
- W2064517415 hasRelatedWork W2062626649 @default.
- W2064517415 hasRelatedWork W2064517415 @default.
- W2064517415 hasRelatedWork W2105684760 @default.
- W2064517415 hasRelatedWork W2261170933 @default.
- W2064517415 hasRelatedWork W2625767879 @default.
- W2064517415 hasRelatedWork W2980412794 @default.
- W2064517415 hasRelatedWork W3125773471 @default.
- W2064517415 hasRelatedWork W91468474 @default.
- W2064517415 hasVolume "66" @default.
- W2064517415 isParatext "false" @default.
- W2064517415 isRetracted "false" @default.
- W2064517415 magId "2064517415" @default.