Recursion operators for dispersionless integrable systems in any dimension

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F12%3A%230000309" target="_blank" >RIV/47813059:19610/12:#0000309 - isvavai.cz</a>
Result on the web
<a href="http://iopscience.iop.org/0266-5611/28/2/025011/" target="_blank" >http://iopscience.iop.org/0266-5611/28/2/025011/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/0266-5611/28/2/025011" target="_blank" >10.1088/0266-5611/28/2/025011</a>

Result language
angličtina
Original language name
Recursion operators for dispersionless integrable systems in any dimension
Original language description
We present a new approach to construction of recursion operators for multidimensional integrable systems which have a Lax-type representation in terms of a pair of commuting vector fields. It is illustrated by the examples of the Manakov-Santini system which is a hyperbolic system in N dependent and (N + 4) independent variables, where N is an arbitrary natural number, the six-dimensional generalization of the first heavenly equation, the modified heavenly equation and the dispersionless Hirota equation.
Czech name
—
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
—

Project
<a href="/en/project/GAP201%2F11%2F0356" target="_blank" >GAP201/11/0356: Riemannian, pseudo-Riemannian and affine differential geometry</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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