Matches in SemOpenAlex for { <https://semopenalex.org/work/W2169559139> ?p ?o ?g. }
- W2169559139 abstract "A special class of integrable nonlinear differential equations related to A.III-type symmetric spaces and having additional reductions are analyzed via the inverse scattering method (ISM). Using the dressing method we construct two classes of soliton solutions associated with the Lax operator. Next, by using the Wronskian relations, the mapping between the potential and the minimal sets of scattering data is constructed. Furthermore, completeness relations for the 'squared solutions' (generalized exponentials) are derived. Next, expansions of the potential and its variation are obtained. This demonstrates that the interpretation of the inverse scattering method as a generalized Fourier transform holds true. Finally, the Hamiltonian structures of these generalized multi-component Heisenberg ferromagnetic (MHF) type integrable models on A.III-type symmetric spaces are briefly analyzed." @default.
- W2169559139 created "2016-06-24" @default.
- W2169559139 creator A5001283394 @default.
- W2169559139 creator A5020704947 @default.
- W2169559139 creator A5037859381 @default.
- W2169559139 creator A5038216212 @default.
- W2169559139 date "2011-10-20" @default.
- W2169559139 modified "2023-09-24" @default.
- W2169559139 title "Polynomial Bundles and Generalised Fourier Transforms for Integrable Equations on A.III-type Symmetric Spaces" @default.
- W2169559139 cites W1251396413 @default.
- W2169559139 cites W1552987673 @default.
- W2169559139 cites W1566584356 @default.
- W2169559139 cites W1578708721 @default.
- W2169559139 cites W1623890348 @default.
- W2169559139 cites W1631607997 @default.
- W2169559139 cites W1674385236 @default.
- W2169559139 cites W1967242455 @default.
- W2169559139 cites W1972309467 @default.
- W2169559139 cites W1983894121 @default.
- W2169559139 cites W1990027379 @default.
- W2169559139 cites W1990391051 @default.
- W2169559139 cites W1992071744 @default.
- W2169559139 cites W2000192354 @default.
- W2169559139 cites W2002768628 @default.
- W2169559139 cites W2005858593 @default.
- W2169559139 cites W2006183817 @default.
- W2169559139 cites W2015541319 @default.
- W2169559139 cites W2018132341 @default.
- W2169559139 cites W2021865601 @default.
- W2169559139 cites W2021891075 @default.
- W2169559139 cites W2022028964 @default.
- W2169559139 cites W2022443517 @default.
- W2169559139 cites W2028284212 @default.
- W2169559139 cites W2031384592 @default.
- W2169559139 cites W2038414696 @default.
- W2169559139 cites W2039228595 @default.
- W2169559139 cites W2059585554 @default.
- W2169559139 cites W2062572188 @default.
- W2169559139 cites W2065688896 @default.
- W2169559139 cites W2065835595 @default.
- W2169559139 cites W2065893870 @default.
- W2169559139 cites W2078690312 @default.
- W2169559139 cites W2081774062 @default.
- W2169559139 cites W2092346642 @default.
- W2169559139 cites W2093161781 @default.
- W2169559139 cites W2094305355 @default.
- W2169559139 cites W2094335476 @default.
- W2169559139 cites W2100022907 @default.
- W2169559139 cites W2127999537 @default.
- W2169559139 cites W2148516514 @default.
- W2169559139 cites W2162398152 @default.
- W2169559139 cites W2177522270 @default.
- W2169559139 cites W2179428325 @default.
- W2169559139 cites W2397238290 @default.
- W2169559139 cites W2506949351 @default.
- W2169559139 cites W2761596524 @default.
- W2169559139 cites W2950212486 @default.
- W2169559139 cites W3004649526 @default.
- W2169559139 cites W3098411017 @default.
- W2169559139 cites W3099711340 @default.
- W2169559139 cites W3100904623 @default.
- W2169559139 cites W3211203198 @default.
- W2169559139 cites W658279911 @default.
- W2169559139 doi "https://doi.org/10.3842/sigma.2011.096" @default.
- W2169559139 hasPublicationYear "2011" @default.
- W2169559139 type Work @default.
- W2169559139 sameAs 2169559139 @default.
- W2169559139 citedByCount "12" @default.
- W2169559139 countsByYear W21695591392012 @default.
- W2169559139 countsByYear W21695591392013 @default.
- W2169559139 countsByYear W21695591392016 @default.
- W2169559139 countsByYear W21695591392018 @default.
- W2169559139 countsByYear W21695591392019 @default.
- W2169559139 countsByYear W21695591392022 @default.
- W2169559139 crossrefType "journal-article" @default.
- W2169559139 hasAuthorship W2169559139A5001283394 @default.
- W2169559139 hasAuthorship W2169559139A5020704947 @default.
- W2169559139 hasAuthorship W2169559139A5037859381 @default.
- W2169559139 hasAuthorship W2169559139A5038216212 @default.
- W2169559139 hasBestOaLocation W21695591391 @default.
- W2169559139 hasConcept C102519508 @default.
- W2169559139 hasConcept C103642545 @default.
- W2169559139 hasConcept C128295302 @default.
- W2169559139 hasConcept C134306372 @default.
- W2169559139 hasConcept C135252773 @default.
- W2169559139 hasConcept C136628613 @default.
- W2169559139 hasConcept C17231256 @default.
- W2169559139 hasConcept C174558057 @default.
- W2169559139 hasConcept C18903297 @default.
- W2169559139 hasConcept C200741047 @default.
- W2169559139 hasConcept C202444582 @default.
- W2169559139 hasConcept C207467116 @default.
- W2169559139 hasConcept C2524010 @default.
- W2169559139 hasConcept C2777299769 @default.
- W2169559139 hasConcept C33923547 @default.
- W2169559139 hasConcept C61836697 @default.
- W2169559139 hasConcept C86803240 @default.
- W2169559139 hasConceptScore W2169559139C102519508 @default.
- W2169559139 hasConceptScore W2169559139C103642545 @default.
- W2169559139 hasConceptScore W2169559139C128295302 @default.