Integrability properties of some equations obtained by symmetry reductions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F15%3A%230000469" target="_blank" >RIV/47813059:19610/15:#0000469 - isvavai.cz</a>
Result on the web
<a href="http://www.tandfonline.com/doi/abs/10.1080/14029251.2015.1023582#.VTY2nTe8_AM" target="_blank" >http://www.tandfonline.com/doi/abs/10.1080/14029251.2015.1023582#.VTY2nTe8_AM</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/14029251.2015.1023582" target="_blank" >10.1080/14029251.2015.1023582</a>

Result language
angličtina
Original language name
Integrability properties of some equations obtained by symmetry reductions
Original language description
In our recent paper [1], we gave a complete description of symmetry reduction of four Lax-integrable (i.e., possessing a zero-curvature representation with a non-removable parameter) 3-dimensional equations. Here we study the behavior of the integrability features of the initial equations under the reduction procedure. We show that the ZCRs are transformed to nonlinear differential coverings of the resulting 2D-systems similar to the one found for the Gibbons-Tsarev equation in [17]. Using these coverings we construct infinite series of (nonlocal) conservation laws and prove their nontriviality. We also show that the recursion operators are not preserved under reductions.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

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

Similar results(10)