Matches in SemOpenAlex for { <https://semopenalex.org/work/W3173785199> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W3173785199 abstract "In this paper, we show direct connections between the conservation law (CL)-based method and the differential invariant (DI)-based method for obtaining nonlocally related systems and nonlocal symmetries for a given partial differential equation (PDE) system. For a PDE system with two independent variables, we show that the CL method is a special case for the DI method. For a PDE system with at least three independent variables, we show that the CL method, for a curl-type CL, is a special case for the DI method. We also consider the situation for a self-adjoint, i.e. variational, linear PDE system. Here, a solution of the linear PDE system yields a nonlocally related system for both approaches. In particular, the resulting nonlocally related systems need not be invertibly equivalent. Through an example, we show that three distinct nonlocally related systems can be obtained from an admitted point symmetry." @default.
- W3173785199 created "2021-07-05" @default.
- W3173785199 creator A5020419672 @default.
- W3173785199 creator A5029337066 @default.
- W3173785199 creator A5040735583 @default.
- W3173785199 creator A5073075311 @default.
- W3173785199 date "2021-06-01" @default.
- W3173785199 modified "2023-09-24" @default.
- W3173785199 title "Differential invariant method for seeking nonlocally related systems and nonlocal symmetries. II: Connections with the conservation law method" @default.
- W3173785199 cites W1506397612 @default.
- W3173785199 cites W1965512532 @default.
- W3173785199 cites W1993155984 @default.
- W3173785199 cites W2015889093 @default.
- W3173785199 cites W2046601112 @default.
- W3173785199 cites W2076582246 @default.
- W3173785199 cites W2078731609 @default.
- W3173785199 cites W2079272689 @default.
- W3173785199 cites W2085768187 @default.
- W3173785199 cites W2092222031 @default.
- W3173785199 cites W3040998309 @default.
- W3173785199 doi "https://doi.org/10.1098/rspa.2020.0909" @default.
- W3173785199 hasPublicationYear "2021" @default.
- W3173785199 type Work @default.
- W3173785199 sameAs 3173785199 @default.
- W3173785199 citedByCount "0" @default.
- W3173785199 crossrefType "journal-article" @default.
- W3173785199 hasAuthorship W3173785199A5020419672 @default.
- W3173785199 hasAuthorship W3173785199A5029337066 @default.
- W3173785199 hasAuthorship W3173785199A5040735583 @default.
- W3173785199 hasAuthorship W3173785199A5073075311 @default.
- W3173785199 hasBestOaLocation W31737851991 @default.
- W3173785199 hasConcept C134306372 @default.
- W3173785199 hasConcept C147663694 @default.
- W3173785199 hasConcept C190470478 @default.
- W3173785199 hasConcept C199360897 @default.
- W3173785199 hasConcept C2524010 @default.
- W3173785199 hasConcept C28826006 @default.
- W3173785199 hasConcept C33923547 @default.
- W3173785199 hasConcept C3445786 @default.
- W3173785199 hasConcept C37914503 @default.
- W3173785199 hasConcept C41008148 @default.
- W3173785199 hasConcept C78045399 @default.
- W3173785199 hasConcept C93779851 @default.
- W3173785199 hasConcept C96469262 @default.
- W3173785199 hasConceptScore W3173785199C134306372 @default.
- W3173785199 hasConceptScore W3173785199C147663694 @default.
- W3173785199 hasConceptScore W3173785199C190470478 @default.
- W3173785199 hasConceptScore W3173785199C199360897 @default.
- W3173785199 hasConceptScore W3173785199C2524010 @default.
- W3173785199 hasConceptScore W3173785199C28826006 @default.
- W3173785199 hasConceptScore W3173785199C33923547 @default.
- W3173785199 hasConceptScore W3173785199C3445786 @default.
- W3173785199 hasConceptScore W3173785199C37914503 @default.
- W3173785199 hasConceptScore W3173785199C41008148 @default.
- W3173785199 hasConceptScore W3173785199C78045399 @default.
- W3173785199 hasConceptScore W3173785199C93779851 @default.
- W3173785199 hasConceptScore W3173785199C96469262 @default.
- W3173785199 hasFunder F4320334593 @default.
- W3173785199 hasIssue "2250" @default.
- W3173785199 hasLocation W31737851991 @default.
- W3173785199 hasOpenAccess W3173785199 @default.
- W3173785199 hasPrimaryLocation W31737851991 @default.
- W3173785199 hasRelatedWork W12742898 @default.
- W3173785199 hasRelatedWork W14518806 @default.
- W3173785199 hasRelatedWork W17276238 @default.
- W3173785199 hasRelatedWork W18006173 @default.
- W3173785199 hasRelatedWork W2226487 @default.
- W3173785199 hasRelatedWork W23172694 @default.
- W3173785199 hasRelatedWork W3935834 @default.
- W3173785199 hasRelatedWork W4224484 @default.
- W3173785199 hasRelatedWork W4849997 @default.
- W3173785199 hasRelatedWork W5113732 @default.
- W3173785199 hasVolume "477" @default.
- W3173785199 isParatext "false" @default.
- W3173785199 isRetracted "false" @default.
- W3173785199 magId "3173785199" @default.
- W3173785199 workType "article" @default.