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Nonexplicit versions of integrable equations

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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.

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Notes

  1. We here consider the case known as DSII in the literature. The case of DSI can be considered similarly.

References

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Acknowledgments

The author thanks Vladimir V. Sokolov for the fruitful discussions.

Funding

This work was supported by the Russian Science Foundation under grant No. 19-11-00062, https://rscf.ru/ en/ project/ 19-11-00062/.

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Authors and Affiliations

  1. Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

    A. K. Pogrebkov

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  1. A. K. Pogrebkov
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Correspondence to A. K. Pogrebkov.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, 2023, Vol. 217, pp. 577–584 https://doi.org/10.4213/tmf10631.

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Pogrebkov, A.K. Nonexplicit versions of integrable equations. Theor Math Phys 217, 1907–1913 (2023). https://doi.org/10.1134/S0040577923120097

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  • DOI: https://doi.org/10.1134/S0040577923120097

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