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Reduction techniques for infinite-dimensional Hamiltonian systems: Some ideas and applications

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Abstract

In the language of tensor analysis on differentiable manifolds, we present a reduction method of integrability structures, and apply it to recover some well-known hierarchies of integrable nonlinear evolution equations.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Milano, Via C. Saldini 50, I-20133, Milano, Italy

    F. Magri

  2. Dipartimento di Matematica del Politecnico, P. za L. da Vinci 32, I-20133, Milano, Italy

    C. Morosi

  3. Dipartimento di Fisica, Università degli Studi, “La Sapienza”, I-00185, Roma, Italy

    O. Ragnisco

  4. Istituto Nazionale di Fisica Nucleare, Sezione di Roma, I-00185, Roma, Italy

    O. Ragnisco

Authors
  1. F. Magri
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  2. C. Morosi
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  3. O. Ragnisco
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Additional information

Communicated by A. Jaffe

This research has been partially supported by the Italian Ministry of Public Education

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Magri, F., Morosi, C. & Ragnisco, O. Reduction techniques for infinite-dimensional Hamiltonian systems: Some ideas and applications. Commun.Math. Phys. 99, 115–140 (1985). https://doi.org/10.1007/BF01466596

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  • DOI: https://doi.org/10.1007/BF01466596

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