Recursion Operators for Multidimensional Integrable PDEs

@article{65241,
   author = {Sergyeyev, Artur},
   article_location = {Dordrecht},
   article_number = {1},
   doi = {http://dx.doi.org/10.1007/s10440-022-00524-8},
   keywords = {Recursion operators; Lax pairs; Integrable systems; Symmetries},
   language = {eng},
   issn = {0167-8019},
   journal = {Acta Applicandae Mathematicae},
   title = {Recursion Operators for Multidimensional Integrable PDEs},
   url = {https://link.springer.com/article/10.1007/s10440-022-00524-8},
   volume = {181},
   year = {2022}
}

TY  - JOUR
ID  - 65241
AU  - Sergyeyev, Artur
PY  - 2022
TI  - Recursion Operators for Multidimensional Integrable PDEs
JF  - Acta Applicandae Mathematicae
VL  - 181
IS  - 1
SP  - "10-1"-"10-12"
EP  - "10-1"-"10-12"
PB  - Springer
SN  - 01678019
KW  - Recursion operators
KW  - Lax pairs
KW  - Integrable systems
KW  - Symmetries
UR  - https://link.springer.com/article/10.1007/s10440-022-00524-8
N2  - 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.
ER  - 

SERGYEYEV, Artur. Recursion Operators for Multidimensional Integrable PDEs. \textit{Acta Applicandae Mathematicae}. Dordrecht: Springer, 2022, vol.~181, No~1, p.~''10-1''-''10-12'', 12 pp. ISSN~0167-8019. Available from: https://dx.doi.org/10.1007/s10440-022-00524-8.