Matches in SemOpenAlex for { <https://semopenalex.org/work/W2950954852> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W2950954852 abstract "We completely describe Wahlquist-Estabrook prolongation structures (coverings) dependent on u, u_x, u_{xx}, u_{xxx} for the Krichever-Novikov equation u_t=u_{xxx}-3u_{xx}^2/(2u_x)+p(u)/u_x+au_x in the case when the polynomial p(u)=4u^3-g_2u-g_3 has distinct roots. We prove that there is a universal prolongation algebra isomorphic to the direct sum of a commutative 2-dimensional algebra and a certain subalgebra of the tensor product of sl_2(C) with the algebra of regular functions on an affine elliptic curve. This is achieved by identifying this prolongation algebra with the one for the anisotropic Landau-Lifshitz equation. Using these results, we find for the Krichever-Novikov equation a new zero-curvature representation, which is polynomial in the spectral parameter in contrast to the known elliptic ones." @default.
- W2950954852 created "2019-06-27" @default.
- W2950954852 creator A5047274260 @default.
- W2950954852 creator A5073271090 @default.
- W2950954852 date "2002-08-05" @default.
- W2950954852 modified "2023-09-27" @default.
- W2950954852 title "Prolongation structure of the Krichever-Novikov equation" @default.
- W2950954852 cites W1977307651 @default.
- W2950954852 cites W2045874179 @default.
- W2950954852 cites W2048094389 @default.
- W2950954852 cites W2094305355 @default.
- W2950954852 cites W2095914370 @default.
- W2950954852 hasPublicationYear "2002" @default.
- W2950954852 type Work @default.
- W2950954852 sameAs 2950954852 @default.
- W2950954852 citedByCount "0" @default.
- W2950954852 crossrefType "posted-content" @default.
- W2950954852 hasAuthorship W2950954852A5047274260 @default.
- W2950954852 hasAuthorship W2950954852A5073271090 @default.
- W2950954852 hasConcept C114170632 @default.
- W2950954852 hasConcept C121332964 @default.
- W2950954852 hasConcept C134306372 @default.
- W2950954852 hasConcept C136119220 @default.
- W2950954852 hasConcept C138354692 @default.
- W2950954852 hasConcept C151640129 @default.
- W2950954852 hasConcept C179603306 @default.
- W2950954852 hasConcept C202444582 @default.
- W2950954852 hasConcept C24890656 @default.
- W2950954852 hasConcept C2777672339 @default.
- W2950954852 hasConcept C33923547 @default.
- W2950954852 hasConcept C37914503 @default.
- W2950954852 hasConcept C51255310 @default.
- W2950954852 hasConcept C67996461 @default.
- W2950954852 hasConcept C90119067 @default.
- W2950954852 hasConceptScore W2950954852C114170632 @default.
- W2950954852 hasConceptScore W2950954852C121332964 @default.
- W2950954852 hasConceptScore W2950954852C134306372 @default.
- W2950954852 hasConceptScore W2950954852C136119220 @default.
- W2950954852 hasConceptScore W2950954852C138354692 @default.
- W2950954852 hasConceptScore W2950954852C151640129 @default.
- W2950954852 hasConceptScore W2950954852C179603306 @default.
- W2950954852 hasConceptScore W2950954852C202444582 @default.
- W2950954852 hasConceptScore W2950954852C24890656 @default.
- W2950954852 hasConceptScore W2950954852C2777672339 @default.
- W2950954852 hasConceptScore W2950954852C33923547 @default.
- W2950954852 hasConceptScore W2950954852C37914503 @default.
- W2950954852 hasConceptScore W2950954852C51255310 @default.
- W2950954852 hasConceptScore W2950954852C67996461 @default.
- W2950954852 hasConceptScore W2950954852C90119067 @default.
- W2950954852 hasLocation W29509548521 @default.
- W2950954852 hasOpenAccess W2950954852 @default.
- W2950954852 hasPrimaryLocation W29509548521 @default.
- W2950954852 hasRelatedWork W1643810875 @default.
- W2950954852 hasRelatedWork W1883874188 @default.
- W2950954852 hasRelatedWork W1973725735 @default.
- W2950954852 hasRelatedWork W1984183314 @default.
- W2950954852 hasRelatedWork W1998403941 @default.
- W2950954852 hasRelatedWork W2004429716 @default.
- W2950954852 hasRelatedWork W2025771889 @default.
- W2950954852 hasRelatedWork W2031756342 @default.
- W2950954852 hasRelatedWork W2130256461 @default.
- W2950954852 hasRelatedWork W2555047302 @default.
- W2950954852 hasRelatedWork W2572844078 @default.
- W2950954852 hasRelatedWork W2594775419 @default.
- W2950954852 hasRelatedWork W2890891854 @default.
- W2950954852 hasRelatedWork W2949157187 @default.
- W2950954852 hasRelatedWork W2949552248 @default.
- W2950954852 hasRelatedWork W2951126823 @default.
- W2950954852 hasRelatedWork W2953214185 @default.
- W2950954852 hasRelatedWork W3121743227 @default.
- W2950954852 hasRelatedWork W3122628443 @default.
- W2950954852 hasRelatedWork W3201437365 @default.
- W2950954852 isParatext "false" @default.
- W2950954852 isRetracted "false" @default.
- W2950954852 magId "2950954852" @default.
- W2950954852 workType "article" @default.