FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2183620622> ?p ?o ?g. }

• W2183620622 abstract "A completely integrable nonlinear partial differential equation (PDE) can be associated with a system of linear PDEs in an auxiliary function whose compatibility requires that the original PDE is satisfied. This associated system is called a Lax pair. Two equivalent representations are presented. The first uses a pair of differential operators which leads to a higher order linear system for the auxiliary function. The second uses a pair of matrices which leads to a first-order linear system. In this paper we present a method, which is easily implemented in Maple or Mathematica, to compute an operator Lax pair for a set of PDEs. In the operator representation, the determining equations for the Lax pair split into a set of kinematic constraints which are independent of the original equation and a set of dynamical equations which do depend on it. The kinematic constraints can be solved generically. We assume that the operators have a scaling symmetry. The dynamical equations are then reduced to a set of nonlinear algebraic equations. This approach is illustrated with well-known examples from soliton theory. In particular, it is applied to a three parameter class of fifth-order KdV-like evolution equations which includes the Lax fifth-order KdV, Sawada-Kotera and Kaup-Kuperschmidt equations. A second Lax pair was found for the Sawada–Kotera equation." @default.
• W2183620622 created "2016-06-24" @default.
• W2183620622 creator A5076004456 @default.
• W2183620622 creator A5077299571 @default.
• W2183620622 creator A5079277385 @default.
• W2183620622 date "2011-01-01" @default.
• W2183620622 modified "2023-09-26" @default.
• W2183620622 title "Dedicated to the memory of Alan Jeffrey Scaling invariant Lax pairs of nonlinear evolution equations" @default.
• W2183620622 cites W1631607997 @default.
• W2183620622 cites W1968545731 @default.
• W2183620622 cites W1972623318 @default.
• W2183620622 cites W1977533832 @default.
• W2183620622 cites W1979722387 @default.
• W2183620622 cites W1983326071 @default.
• W2183620622 cites W1984363997 @default.
• W2183620622 cites W2001983765 @default.
• W2183620622 cites W2002994684 @default.
• W2183620622 cites W2004455429 @default.
• W2183620622 cites W2005178468 @default.
• W2183620622 cites W2005858593 @default.
• W2183620622 cites W2021898534 @default.
• W2183620622 cites W2025559654 @default.
• W2183620622 cites W2027595215 @default.
• W2183620622 cites W2030669316 @default.
• W2183620622 cites W2031840071 @default.
• W2183620622 cites W2035795093 @default.
• W2183620622 cites W2045052806 @default.
• W2183620622 cites W2048614629 @default.
• W2183620622 cites W2053313687 @default.
• W2183620622 cites W2059106270 @default.
• W2183620622 cites W2066431238 @default.
• W2183620622 cites W2083332431 @default.
• W2183620622 cites W2083960709 @default.
• W2183620622 cites W2089996117 @default.
• W2183620622 cites W2108888992 @default.
• W2183620622 cites W2125189376 @default.
• W2183620622 cites W2152553848 @default.
• W2183620622 cites W2179428325 @default.
• W2183620622 cites W2311218862 @default.
• W2183620622 cites W2596004680 @default.
• W2183620622 cites W2963091121 @default.
• W2183620622 cites W3139788879 @default.
• W2183620622 cites W631910574 @default.
• W2183620622 cites W635490858 @default.
• W2183620622 hasPublicationYear "2011" @default.
• W2183620622 type Work @default.
• W2183620622 sameAs 2183620622 @default.
• W2183620622 citedByCount "0" @default.
• W2183620622 crossrefType "journal-article" @default.
• W2183620622 hasAuthorship W2183620622A5076004456 @default.
• W2183620622 hasAuthorship W2183620622A5077299571 @default.
• W2183620622 hasAuthorship W2183620622A5079277385 @default.
• W2183620622 hasConcept C104317684 @default.
• W2183620622 hasConcept C121332964 @default.
• W2183620622 hasConcept C134306372 @default.
• W2183620622 hasConcept C146630112 @default.
• W2183620622 hasConcept C158448853 @default.
• W2183620622 hasConcept C158622935 @default.
• W2183620622 hasConcept C17020691 @default.
• W2183620622 hasConcept C172829509 @default.
• W2183620622 hasConcept C185592680 @default.
• W2183620622 hasConcept C190470478 @default.
• W2183620622 hasConcept C200741047 @default.
• W2183620622 hasConcept C28826006 @default.
• W2183620622 hasConcept C33923547 @default.
• W2183620622 hasConcept C37914503 @default.
• W2183620622 hasConcept C55493867 @default.
• W2183620622 hasConcept C62520636 @default.
• W2183620622 hasConcept C79379906 @default.
• W2183620622 hasConcept C86339819 @default.
• W2183620622 hasConcept C93779851 @default.
• W2183620622 hasConceptScore W2183620622C104317684 @default.
• W2183620622 hasConceptScore W2183620622C121332964 @default.
• W2183620622 hasConceptScore W2183620622C134306372 @default.
• W2183620622 hasConceptScore W2183620622C146630112 @default.
• W2183620622 hasConceptScore W2183620622C158448853 @default.
• W2183620622 hasConceptScore W2183620622C158622935 @default.
• W2183620622 hasConceptScore W2183620622C17020691 @default.
• W2183620622 hasConceptScore W2183620622C172829509 @default.
• W2183620622 hasConceptScore W2183620622C185592680 @default.
• W2183620622 hasConceptScore W2183620622C190470478 @default.
• W2183620622 hasConceptScore W2183620622C200741047 @default.
• W2183620622 hasConceptScore W2183620622C28826006 @default.
• W2183620622 hasConceptScore W2183620622C33923547 @default.
• W2183620622 hasConceptScore W2183620622C37914503 @default.
• W2183620622 hasConceptScore W2183620622C55493867 @default.
• W2183620622 hasConceptScore W2183620622C62520636 @default.
• W2183620622 hasConceptScore W2183620622C79379906 @default.
• W2183620622 hasConceptScore W2183620622C86339819 @default.
• W2183620622 hasConceptScore W2183620622C93779851 @default.
• W2183620622 hasLocation W21836206221 @default.
• W2183620622 hasOpenAccess W2183620622 @default.
• W2183620622 hasPrimaryLocation W21836206221 @default.
• W2183620622 hasRelatedWork W2002193570 @default.
• W2183620622 hasRelatedWork W2014228145 @default.
• W2183620622 hasRelatedWork W2022300039 @default.
• W2183620622 hasRelatedWork W2025555085 @default.
• W2183620622 hasRelatedWork W2034431033 @default.
• W2183620622 hasRelatedWork W2071269109 @default.
• W2183620622 hasRelatedWork W2073834987 @default.

• next