Matches in SemOpenAlex for { <https://semopenalex.org/work/W2247999923> ?p ?o ?g. }
Showing items 1 to 74 of
74
with 100 items per page.
- W2247999923 abstract "Integrable systems are derived from inelastic flows of timelike, spacelike, and null curves in 2- and 3- dimensional Minkowski space. The derivation uses a Lorentzian version of a geometrical moving frame method which is known to yield the modified Korteveg-de Vries (mKdV) equation and the nonlinear Schrodinger (NLS) equation in 2- and 3- dimensional Euclidean space, respectively. In 2-dimensional Minkowski space, timelike/spacelike inelastic curve flows are shown to yield the defocusing mKdV equation and its bi-Hamiltonian integrability structure, while inelastic null curve flows are shown to give rise to Burgers' equation and its symmetry integrability structure. In 3-dimensional Minkowski space, the complex defocusing mKdV equation and the NLS equation along with their bi-Hamiltonian integrability structures are obtained from timelike inelastic curve flows, whereas spacelike inelastic curve flows yield an interesting variant of these two integrable equations in which complex numbers are replaced by hyperbolic (split-complex) numbers." @default.
- W2247999923 created "2016-06-24" @default.
- W2247999923 creator A5037196584 @default.
- W2247999923 creator A5070612554 @default.
- W2247999923 date "2014-10-09" @default.
- W2247999923 modified "2023-09-27" @default.
- W2247999923 title "Integrable systems from inelastic curve flows in 2- and 3- dimensional Minkowski space" @default.
- W2247999923 cites W1572143211 @default.
- W2247999923 hasPublicationYear "2014" @default.
- W2247999923 type Work @default.
- W2247999923 sameAs 2247999923 @default.
- W2247999923 citedByCount "0" @default.
- W2247999923 crossrefType "posted-content" @default.
- W2247999923 hasAuthorship W2247999923A5037196584 @default.
- W2247999923 hasAuthorship W2247999923A5070612554 @default.
- W2247999923 hasConcept C11302649 @default.
- W2247999923 hasConcept C121332964 @default.
- W2247999923 hasConcept C126042441 @default.
- W2247999923 hasConcept C126255220 @default.
- W2247999923 hasConcept C130787639 @default.
- W2247999923 hasConcept C134306372 @default.
- W2247999923 hasConcept C138885662 @default.
- W2247999923 hasConcept C186450821 @default.
- W2247999923 hasConcept C200741047 @default.
- W2247999923 hasConcept C2778572836 @default.
- W2247999923 hasConcept C33923547 @default.
- W2247999923 hasConcept C37914503 @default.
- W2247999923 hasConcept C41008148 @default.
- W2247999923 hasConcept C41895202 @default.
- W2247999923 hasConcept C76155785 @default.
- W2247999923 hasConcept C79464548 @default.
- W2247999923 hasConceptScore W2247999923C11302649 @default.
- W2247999923 hasConceptScore W2247999923C121332964 @default.
- W2247999923 hasConceptScore W2247999923C126042441 @default.
- W2247999923 hasConceptScore W2247999923C126255220 @default.
- W2247999923 hasConceptScore W2247999923C130787639 @default.
- W2247999923 hasConceptScore W2247999923C134306372 @default.
- W2247999923 hasConceptScore W2247999923C138885662 @default.
- W2247999923 hasConceptScore W2247999923C186450821 @default.
- W2247999923 hasConceptScore W2247999923C200741047 @default.
- W2247999923 hasConceptScore W2247999923C2778572836 @default.
- W2247999923 hasConceptScore W2247999923C33923547 @default.
- W2247999923 hasConceptScore W2247999923C37914503 @default.
- W2247999923 hasConceptScore W2247999923C41008148 @default.
- W2247999923 hasConceptScore W2247999923C41895202 @default.
- W2247999923 hasConceptScore W2247999923C76155785 @default.
- W2247999923 hasConceptScore W2247999923C79464548 @default.
- W2247999923 hasLocation W22479999231 @default.
- W2247999923 hasOpenAccess W2247999923 @default.
- W2247999923 hasPrimaryLocation W22479999231 @default.
- W2247999923 hasRelatedWork W1488111245 @default.
- W2247999923 hasRelatedWork W1592135208 @default.
- W2247999923 hasRelatedWork W1975216600 @default.
- W2247999923 hasRelatedWork W1976014857 @default.
- W2247999923 hasRelatedWork W1976258204 @default.
- W2247999923 hasRelatedWork W2001426917 @default.
- W2247999923 hasRelatedWork W2015541319 @default.
- W2247999923 hasRelatedWork W2089133452 @default.
- W2247999923 hasRelatedWork W2127750507 @default.
- W2247999923 hasRelatedWork W2135542337 @default.
- W2247999923 hasRelatedWork W2324764926 @default.
- W2247999923 hasRelatedWork W2550546445 @default.
- W2247999923 hasRelatedWork W2564922140 @default.
- W2247999923 hasRelatedWork W2758706036 @default.
- W2247999923 hasRelatedWork W2883989298 @default.
- W2247999923 hasRelatedWork W2951445210 @default.
- W2247999923 hasRelatedWork W2963376514 @default.
- W2247999923 hasRelatedWork W3023840284 @default.
- W2247999923 hasRelatedWork W3102241833 @default.
- W2247999923 hasRelatedWork W3102264417 @default.
- W2247999923 isParatext "false" @default.
- W2247999923 isRetracted "false" @default.
- W2247999923 magId "2247999923" @default.
- W2247999923 workType "article" @default.