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A New Approach to the Lenard–Magri Scheme of Integrability

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Abstract

We develop a new approach to the Lenard–Magri scheme of integrability of bi-Hamiltonian PDEs, when one of the Poisson structures is a strongly skew-adjoint differential operator.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Roma “La Sapienza”, 00185, Rome, Italy

    Alberto De Sole

  2. IHES, Bures sur Yvette, France

    Alberto De Sole & Victor G. Kac

  3. Department of Mathematics, M.I.T., Cambridge, MA, 02139, USA

    Victor G. Kac

  4. Department of Engineering Physics, Ankara University, Tandogan, 06100, Ankara, Turkey

    Refik Turhan

Authors
  1. Alberto De Sole
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  2. Victor G. Kac
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  3. Refik Turhan
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Corresponding author

Correspondence to Alberto De Sole.

Additional information

Communicated by N. Reshetikhin

A. De Sole was supported in part by PRIN and FIRB grants.

V. G. Kac was supported in part by Simons Fellowship.

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De Sole, A., Kac, V.G. & Turhan, R. A New Approach to the Lenard–Magri Scheme of Integrability. Commun. Math. Phys. 330, 107–122 (2014). https://doi.org/10.1007/s00220-014-2045-6

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  • DOI: https://doi.org/10.1007/s00220-014-2045-6

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