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Extensions of the discrete KP hierarchy and its strict version

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Abstract

We show that both the dKP hierarchy and its strict version can be extended to a wider class of deformations satisfying a larger set of Lax equations. We prove that both extended hierarchies have appropriate linearizations allowing a geometric construction of their solutions.

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References

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Funding

The research of V. A. Poberezhny was performed at the Center for Advanced Studies, Skolkovo Institute of Science and Technology, and was supported by a grant from the Russian Science Foundation (Project No. 19-11-00275).

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Authors and Affiliations

  1. Korteweg–de Vries Institute, University of Amsterdam, Amsterdam, The Netherlands

    G. F. Helminck

  2. National Research University “Higher School of Economics”, Moscow, Russia

    V. A. Poberezhny

  3. Alikhanov Institute for Theoretical and Experimental Physics, Moscow, Russia

    V. A. Poberezhny

  4. Center for Advanced Studies, Skolkovo Institute of Science and Technology, Moscow, Russia

    V. A. Poberezhny

  5. University of Twente, Enschede, The Netherlands

    S. V. Polenkova

Authors
  1. G. F. Helminck
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  2. V. A. Poberezhny
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  3. S. V. Polenkova
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Corresponding author

Correspondence to G. F. Helminck.

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The authors declare no conflicts of interest.

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Helminck, G.F., Poberezhny, V.A. & Polenkova, S.V. Extensions of the discrete KP hierarchy and its strict version. Theor Math Phys 204, 1140–1153 (2020). https://doi.org/10.1134/S0040577920090044

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  • DOI: https://doi.org/10.1134/S0040577920090044

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