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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 217, Number 3, Pages 577–584
DOI: https://doi.org/10.4213/tmf10631 (Mi tmf10631) 		 
Nonexplicit versions of integrable equations

A. K. Pogrebkov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf10631
Abstract: We consider some generalizations of a $(2+1)$-dimensional Davey–Stewartson-type equation. In particular, we propose a dynamical system that does not admit an explicit formulation in terms of differential equations, but needs an additional independent variable.
Keywords: associative algebras, commutator identities, integrability.
Funding agency Grant number
Russian Science Foundation 19-11-00062
This work was supported by the Russian Science Foundation under grant No. 19-11-00062, https://rscf.ru/en/project/19-11-00062/.
Received: 05.11.2023
Revised: 05.11.2023
English version:
Theoretical and Mathematical Physics, 2023, Volume 217, Issue 3, Pages 1907–1913
DOI: https://doi.org/10.1134/S0040577923120097
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. K. Pogrebkov, “Nonexplicit versions of integrable equations”, TMF, 217:3 (2023), 577–584; Theoret. and Math. Phys., 217:3 (2023), 1907–1913
Citation in format AMSBIB
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\by A.~K.~Pogrebkov
\paper Nonexplicit versions of integrable equations
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\issue 3
\pages 577--584
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\transl
\jour Theoret. and Math. Phys.
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\vol 217
\issue 3
\pages 1907--1913
\crossref{https://doi.org/10.1134/S0040577923120097}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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