Recursion Operators for Multidimensional Integrable PDEs

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F22%3AA0000107" target="_blank" >RIV/47813059:19610/22:A0000107 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s10440-022-00524-8" target="_blank" >https://link.springer.com/article/10.1007/s10440-022-00524-8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10440-022-00524-8" target="_blank" >10.1007/s10440-022-00524-8</a>

Result language
angličtina
Original language name
Recursion Operators for Multidimensional Integrable PDEs
Original language description
We present a novel construction of recursion operators for integrable second-order multidimensional PDEs admitting isospectral scalar Lax pairs with Lax operators being first-order scalar differential operators linear in the spectral parameter. Our approach, illustrated by several examples and applicable to many other PDEs of the kind in question, employs an ansatz for the sought-for recursion operator of the equation under study based on the Lax pair for the latter.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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