FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W950552393> ?p ?o ?g. }

• W950552393 endingPage "362" @default.
• W950552393 startingPage "317" @default.
• W950552393 abstract "This chapter discusses Backlund and reciprocal transformations. The role of Backlund transformations (BTs) is well established in the analysis of nonlinear evolution equations amenable to the inverse scattering transform (IST). Thus, in particular, BTs are routinely used to construct nonlinear superposition principles, whereby multisoliton solutions may be generated. BTs can be constructed by a variety of means. In the context of integrable systems, perhaps the most direct approach is via the dressing method (DM). This is linked to the classical Darboux transformation (CDT) that generates solutions to related Schrodinger equations. The relation between the BT and DM methods for 1 + 1 dimensional nonlinear integrable systems has been detailed by Levi, Ragnisco, and Sym. Gauge transformations, in conjunction with reciprocal transformations, also play an important part in links among scattering schemes associated with the classes of nonlinear integrable systems. In the chapter, reciprocal transformations in 1 + 1- and 2 + 1- dimensions are introduced. The link between the 1 + 1-dimensional Zakharov–Shabat (ZS)-AKNS and WKI spectral schemes via a combination of gauge and reciprocal transformations is established in the chapter. In 2 + 1-dimensions, a reciprocal link between the Kadomtsev–Petviashvili and a Dym-type equation is revealed. This allows a novel invariance of the latter to be constructed." @default.
• W950552393 created "2016-06-24" @default.
• W950552393 creator A5083181990 @default.
• W950552393 creator A5085198555 @default.
• W950552393 date "1992-01-01" @default.
• W950552393 modified "2023-09-29" @default.
• W950552393 title "Bäcklund and Reciprocal Transformations: Gauge Connections" @default.
• W950552393 cites W1967776037 @default.
• W950552393 cites W1968052613 @default.
• W950552393 cites W1976501066 @default.
• W950552393 cites W1989438412 @default.
• W950552393 cites W1994895567 @default.
• W950552393 cites W1997851749 @default.
• W950552393 cites W2013357445 @default.
• W950552393 cites W2015542466 @default.
• W950552393 cites W2020462487 @default.
• W950552393 cites W2026700307 @default.
• W950552393 cites W2028524556 @default.
• W950552393 cites W2029580049 @default.
• W950552393 cites W2035947189 @default.
• W950552393 cites W2038566699 @default.
• W950552393 cites W2039390016 @default.
• W950552393 cites W2047424724 @default.
• W950552393 cites W2052544885 @default.
• W950552393 cites W2052670276 @default.
• W950552393 cites W2061175824 @default.
• W950552393 cites W2066387585 @default.
• W950552393 cites W2066434959 @default.
• W950552393 cites W2076553645 @default.
• W950552393 cites W2080299810 @default.
• W950552393 cites W2080679050 @default.
• W950552393 cites W2084928322 @default.
• W950552393 cites W2085299019 @default.
• W950552393 cites W2182166144 @default.
• W950552393 doi "https://doi.org/10.1016/s0076-5392(08)62803-9" @default.
• W950552393 hasPublicationYear "1992" @default.
• W950552393 type Work @default.
• W950552393 sameAs 950552393 @default.
• W950552393 citedByCount "16" @default.
• W950552393 countsByYear W9505523932015 @default.
• W950552393 countsByYear W9505523932017 @default.
• W950552393 countsByYear W9505523932020 @default.
• W950552393 countsByYear W9505523932021 @default.
• W950552393 countsByYear W9505523932023 @default.
• W950552393 crossrefType "book-chapter" @default.
• W950552393 hasAuthorship W950552393A5083181990 @default.
• W950552393 hasAuthorship W950552393A5085198555 @default.
• W950552393 hasConcept C104317684 @default.
• W950552393 hasConcept C121332964 @default.
• W950552393 hasConcept C134306372 @default.
• W950552393 hasConcept C135252773 @default.
• W950552393 hasConcept C136119220 @default.
• W950552393 hasConcept C136628613 @default.
• W950552393 hasConcept C138885662 @default.
• W950552393 hasConcept C151730666 @default.
• W950552393 hasConcept C158622935 @default.
• W950552393 hasConcept C166957645 @default.
• W950552393 hasConcept C174558057 @default.
• W950552393 hasConcept C181830111 @default.
• W950552393 hasConcept C185592680 @default.
• W950552393 hasConcept C200741047 @default.
• W950552393 hasConcept C202444582 @default.
• W950552393 hasConcept C204241405 @default.
• W950552393 hasConcept C27753989 @default.
• W950552393 hasConcept C2777742833 @default.
• W950552393 hasConcept C2779343474 @default.
• W950552393 hasConcept C33923547 @default.
• W950552393 hasConcept C37914503 @default.
• W950552393 hasConcept C40976572 @default.
• W950552393 hasConcept C41895202 @default.
• W950552393 hasConcept C55493867 @default.
• W950552393 hasConcept C62520636 @default.
• W950552393 hasConcept C86803240 @default.
• W950552393 hasConcept C95457728 @default.
• W950552393 hasConceptScore W950552393C104317684 @default.
• W950552393 hasConceptScore W950552393C121332964 @default.
• W950552393 hasConceptScore W950552393C134306372 @default.
• W950552393 hasConceptScore W950552393C135252773 @default.
• W950552393 hasConceptScore W950552393C136119220 @default.
• W950552393 hasConceptScore W950552393C136628613 @default.
• W950552393 hasConceptScore W950552393C138885662 @default.
• W950552393 hasConceptScore W950552393C151730666 @default.
• W950552393 hasConceptScore W950552393C158622935 @default.
• W950552393 hasConceptScore W950552393C166957645 @default.
• W950552393 hasConceptScore W950552393C174558057 @default.
• W950552393 hasConceptScore W950552393C181830111 @default.
• W950552393 hasConceptScore W950552393C185592680 @default.
• W950552393 hasConceptScore W950552393C200741047 @default.
• W950552393 hasConceptScore W950552393C202444582 @default.
• W950552393 hasConceptScore W950552393C204241405 @default.
• W950552393 hasConceptScore W950552393C27753989 @default.
• W950552393 hasConceptScore W950552393C2777742833 @default.
• W950552393 hasConceptScore W950552393C2779343474 @default.
• W950552393 hasConceptScore W950552393C33923547 @default.
• W950552393 hasConceptScore W950552393C37914503 @default.
• W950552393 hasConceptScore W950552393C40976572 @default.
• W950552393 hasConceptScore W950552393C41895202 @default.
• W950552393 hasConceptScore W950552393C55493867 @default.

• next