SERGYEYEV, Artur. Recursion Operators for Multidimensional Integrable PDEs. 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. |
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@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.
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