FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1983472143> ?p ?o ?g. }

• W1983472143 endingPage "806" @default.
• W1983472143 startingPage "795" @default.
• W1983472143 abstract "We present the results of a systematic investigation of invariance properties of a large class of nonlinear evolution equations under a one-parameter continuous (Lie) group of transformations. It is shown that, in general, the corresponding invariant variables (the subclass of which is the usual similarity variables) lead to ordinary differential equations of Painlevé type in the case of inverse scattering transform solvable equations, as conjectured by Ablowitz, Ramani, and Segur. This is found to be also true for certain higher spatial dimensional versions such as the Kadomtsev–Petviashivilli, two dimensional sine–Gordon, and Ernst equations. For the nonsolvable equations considered here this invariance study leads to ordinary differential equations with movable critical points." @default.
• W1983472143 created "2016-06-24" @default.
• W1983472143 creator A5036526954 @default.
• W1983472143 creator A5046071226 @default.
• W1983472143 date "1983-04-01" @default.
• W1983472143 modified "2023-10-16" @default.
• W1983472143 title "Lie transformations, nonlinear evolution equations, and Painlevé forms" @default.
• W1983472143 cites W1964850591 @default.
• W1983472143 cites W1966218332 @default.
• W1983472143 cites W1970945288 @default.
• W1983472143 cites W1971645788 @default.
• W1983472143 cites W1982262521 @default.
• W1983472143 cites W1984961278 @default.
• W1983472143 cites W1998795487 @default.
• W1983472143 cites W1999503195 @default.
• W1983472143 cites W2003404223 @default.
• W1983472143 cites W2008945914 @default.
• W1983472143 cites W2016994430 @default.
• W1983472143 cites W2031227164 @default.
• W1983472143 cites W2032689502 @default.
• W1983472143 cites W2037975658 @default.
• W1983472143 cites W2039119515 @default.
• W1983472143 cites W2040447355 @default.
• W1983472143 cites W2041766268 @default.
• W1983472143 cites W2046856839 @default.
• W1983472143 cites W2056456757 @default.
• W1983472143 cites W2061234205 @default.
• W1983472143 cites W2062572188 @default.
• W1983472143 cites W2066392523 @default.
• W1983472143 cites W2076044226 @default.
• W1983472143 cites W2077667513 @default.
• W1983472143 cites W2084687541 @default.
• W1983472143 cites W2092210726 @default.
• W1983472143 cites W2100521546 @default.
• W1983472143 cites W2103130698 @default.
• W1983472143 cites W2132170203 @default.
• W1983472143 cites W2155977477 @default.
• W1983472143 doi "https://doi.org/10.1063/1.525752" @default.
• W1983472143 hasPublicationYear "1983" @default.
• W1983472143 type Work @default.
• W1983472143 sameAs 1983472143 @default.
• W1983472143 citedByCount "125" @default.
• W1983472143 countsByYear W19834721432012 @default.
• W1983472143 countsByYear W19834721432013 @default.
• W1983472143 countsByYear W19834721432014 @default.
• W1983472143 countsByYear W19834721432015 @default.
• W1983472143 countsByYear W19834721432016 @default.
• W1983472143 countsByYear W19834721432017 @default.
• W1983472143 countsByYear W19834721432018 @default.
• W1983472143 countsByYear W19834721432019 @default.
• W1983472143 countsByYear W19834721432020 @default.
• W1983472143 countsByYear W19834721432021 @default.
• W1983472143 countsByYear W19834721432022 @default.
• W1983472143 crossrefType "journal-article" @default.
• W1983472143 hasAuthorship W1983472143A5036526954 @default.
• W1983472143 hasAuthorship W1983472143A5046071226 @default.
• W1983472143 hasConcept C101487385 @default.
• W1983472143 hasConcept C121332964 @default.
• W1983472143 hasConcept C134306372 @default.
• W1983472143 hasConcept C136628613 @default.
• W1983472143 hasConcept C158622935 @default.
• W1983472143 hasConcept C170036204 @default.
• W1983472143 hasConcept C186219872 @default.
• W1983472143 hasConcept C187915474 @default.
• W1983472143 hasConcept C190470478 @default.
• W1983472143 hasConcept C200602138 @default.
• W1983472143 hasConcept C202444582 @default.
• W1983472143 hasConcept C33923547 @default.
• W1983472143 hasConcept C37914503 @default.
• W1983472143 hasConcept C51544822 @default.
• W1983472143 hasConcept C62520636 @default.
• W1983472143 hasConcept C64057670 @default.
• W1983472143 hasConcept C78045399 @default.
• W1983472143 hasConceptScore W1983472143C101487385 @default.
• W1983472143 hasConceptScore W1983472143C121332964 @default.
• W1983472143 hasConceptScore W1983472143C134306372 @default.
• W1983472143 hasConceptScore W1983472143C136628613 @default.
• W1983472143 hasConceptScore W1983472143C158622935 @default.
• W1983472143 hasConceptScore W1983472143C170036204 @default.
• W1983472143 hasConceptScore W1983472143C186219872 @default.
• W1983472143 hasConceptScore W1983472143C187915474 @default.
• W1983472143 hasConceptScore W1983472143C190470478 @default.
• W1983472143 hasConceptScore W1983472143C200602138 @default.
• W1983472143 hasConceptScore W1983472143C202444582 @default.
• W1983472143 hasConceptScore W1983472143C33923547 @default.
• W1983472143 hasConceptScore W1983472143C37914503 @default.
• W1983472143 hasConceptScore W1983472143C51544822 @default.
• W1983472143 hasConceptScore W1983472143C62520636 @default.
• W1983472143 hasConceptScore W1983472143C64057670 @default.
• W1983472143 hasConceptScore W1983472143C78045399 @default.
• W1983472143 hasIssue "4" @default.
• W1983472143 hasLocation W19834721431 @default.
• W1983472143 hasOpenAccess W1983472143 @default.
• W1983472143 hasPrimaryLocation W19834721431 @default.
• W1983472143 hasRelatedWork W1586667874 @default.
• W1983472143 hasRelatedWork W1983472143 @default.
• W1983472143 hasRelatedWork W1983755086 @default.
• W1983472143 hasRelatedWork W2031234256 @default.

• next