Five-dimensional Lax-integrable equation, its reductions and recursion operator

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F15%3A%230000506" target="_blank" >RIV/47813059:19610/15:#0000506 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1134%2FS1995080215030026" target="_blank" >http://link.springer.com/article/10.1134%2FS1995080215030026</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1134/S1995080215030026" target="_blank" >10.1134/S1995080215030026</a>

Result language
angličtina
Original language name
Five-dimensional Lax-integrable equation, its reductions and recursion operator
Original language description
We consider a five-dimensional nonlinear PDE associated to the five-dimensional equation introduced byMartínez Alonso and Shabat. For our equation we find differential coverings with non-removable parameters and list its reductions to known 4D and 3D integrable equations. One of the coverings produces a new family of integrable 5D equations. We show that each pair of these equations is related by a Bäcklund transformation, including the Bäcklund auto-transformation for each equation from the family. Also we find a recursion operator for symmetries of the equation and study its action.
Czech name
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Czech description
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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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Project
<a href="/en/project/EE2.3.20.0002" target="_blank" >EE2.3.20.0002: Development of Research Capacities of the Mathematical Institute in Opava</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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