Sasa-Satsuma (complex modified Korteweg?de Vries II) and the complex sine-Gordon II equation revisited: Recursion operators, nonlocal symmetries, and more
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F07%3A%230000122" target="_blank" >RIV/47813059:19610/07:#0000122 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Sasa-Satsuma (complex modified Korteweg?de Vries II) and the complex sine-Gordon II equation revisited: Recursion operators, nonlocal symmetries, and more
Original language description
We present a new symplectic structure and a hereditary recursion operator for the Sasa-Satsuma equation which is widely used in nonlinear optics. Using an integrodifferential substitution relating this equation to a third-order symmetry flow of the complex sine-Gordon II equation enabled us to find a hereditary recursion operator and higher Hamiltonian structures for the latter equation. We also show that both the Sasa-Satsuma equation and the third-order symmetry flow for the complex sine-Gordon II equation are bi-Hamiltonian systems, and we construct several hierarchies of local and nonlocal symmetries for these systems.
Czech name
Sasova-Satsumova (komplexní modifikovaná Kortewegova-de Vriesova II) rovnice a komplexní sin-Gordonova II rovnice revidovaná: operátory rekurze, nelokální symetrie, atd.
Czech description
Byla nlezena nová symplektická struktura a dědičný operátor rekurze pro Sasovu-Satsumovu rovnici, která je často používána v nelineární optice. Dále byly nalezeny dědičný operátor rekurze a vyšší Hamiltonovské struktury pro komplexni sin-Gordonovu II rovnici a nelokální symetrie pro obě zmíněné rovnice.
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA201%2F04%2F0538" target="_blank" >GA201/04/0538: Geometry of integrable systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2007
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of mathematical physics
ISSN
0022-2488
e-ISSN
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Volume of the periodical
48
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
"042702-1"-"042702-11"
UT code for WoS article
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EID of the result in the Scopus database
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