Matches in SemOpenAlex for { <https://semopenalex.org/work/W4288103003> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W4288103003 abstract "The method due to Nijhoff and Bobenko & Suris to derive Lax pairs for partial difference equations (PDeltaEs) is applied to edge constrained Boussinesq systems. These systems are defined on a quadrilateral. They are consistent around the cube but they contain equations defined on the edges of the quadrilateral. By properly incorporating the edge equations into the algorithm, it is straightforward to derive Lax matrices of minimal size. The 3 by 3 Lax matrices thus obtained are not unique but shown to be gauge-equivalent. The gauge matrices connecting the various Lax matrices are presented. It is also shown that each of the Boussinesq systems admits a 4 by 4 Lax matrix. For each system, the gauge-like transformations between Lax matrices of different sizes are explicitly given. To illustrate the analogy between continuous and lattice systems, the concept of gauge-equivalence of Lax pairs of nonlinear partial differential equations is briefly discussed. The method to find Lax pairs of PDeltaEs is algorithmic and is being implemented in Mathematica. The Lax pair computations for this chapter helped further improve and extend the capabilities of the software under development." @default.
- W4288103003 created "2022-07-28" @default.
- W4288103003 creator A5039893311 @default.
- W4288103003 creator A5079277385 @default.
- W4288103003 date "2019-09-24" @default.
- W4288103003 modified "2023-09-24" @default.
- W4288103003 title "Lax Pairs for Edge-constrained Boussinesq Systems of Partial Difference Equations" @default.
- W4288103003 doi "https://doi.org/10.48550/arxiv.1909.10738" @default.
- W4288103003 hasPublicationYear "2019" @default.
- W4288103003 type Work @default.
- W4288103003 citedByCount "0" @default.
- W4288103003 crossrefType "posted-content" @default.
- W4288103003 hasAuthorship W4288103003A5039893311 @default.
- W4288103003 hasAuthorship W4288103003A5079277385 @default.
- W4288103003 hasBestOaLocation W42881030031 @default.
- W4288103003 hasConcept C106487976 @default.
- W4288103003 hasConcept C121332964 @default.
- W4288103003 hasConcept C134306372 @default.
- W4288103003 hasConcept C135628077 @default.
- W4288103003 hasConcept C151756577 @default.
- W4288103003 hasConcept C158622935 @default.
- W4288103003 hasConcept C159985019 @default.
- W4288103003 hasConcept C166957645 @default.
- W4288103003 hasConcept C172829509 @default.
- W4288103003 hasConcept C192562407 @default.
- W4288103003 hasConcept C200741047 @default.
- W4288103003 hasConcept C28826006 @default.
- W4288103003 hasConcept C33923547 @default.
- W4288103003 hasConcept C40976572 @default.
- W4288103003 hasConcept C62520636 @default.
- W4288103003 hasConcept C93779851 @default.
- W4288103003 hasConcept C95457728 @default.
- W4288103003 hasConcept C97355855 @default.
- W4288103003 hasConceptScore W4288103003C106487976 @default.
- W4288103003 hasConceptScore W4288103003C121332964 @default.
- W4288103003 hasConceptScore W4288103003C134306372 @default.
- W4288103003 hasConceptScore W4288103003C135628077 @default.
- W4288103003 hasConceptScore W4288103003C151756577 @default.
- W4288103003 hasConceptScore W4288103003C158622935 @default.
- W4288103003 hasConceptScore W4288103003C159985019 @default.
- W4288103003 hasConceptScore W4288103003C166957645 @default.
- W4288103003 hasConceptScore W4288103003C172829509 @default.
- W4288103003 hasConceptScore W4288103003C192562407 @default.
- W4288103003 hasConceptScore W4288103003C200741047 @default.
- W4288103003 hasConceptScore W4288103003C28826006 @default.
- W4288103003 hasConceptScore W4288103003C33923547 @default.
- W4288103003 hasConceptScore W4288103003C40976572 @default.
- W4288103003 hasConceptScore W4288103003C62520636 @default.
- W4288103003 hasConceptScore W4288103003C93779851 @default.
- W4288103003 hasConceptScore W4288103003C95457728 @default.
- W4288103003 hasConceptScore W4288103003C97355855 @default.
- W4288103003 hasLocation W42881030031 @default.
- W4288103003 hasOpenAccess W4288103003 @default.
- W4288103003 hasPrimaryLocation W42881030031 @default.
- W4288103003 hasRelatedWork W1551797393 @default.
- W4288103003 hasRelatedWork W1969866959 @default.
- W4288103003 hasRelatedWork W2009793451 @default.
- W4288103003 hasRelatedWork W2067404540 @default.
- W4288103003 hasRelatedWork W2077366804 @default.
- W4288103003 hasRelatedWork W2329254523 @default.
- W4288103003 hasRelatedWork W2795730263 @default.
- W4288103003 hasRelatedWork W3023541764 @default.
- W4288103003 hasRelatedWork W3148830930 @default.
- W4288103003 hasRelatedWork W3208437786 @default.
- W4288103003 isParatext "false" @default.
- W4288103003 isRetracted "false" @default.
- W4288103003 workType "article" @default.