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The discrete chiral-field hierarchy

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Lettere al Nuovo Cimento (1971-1985)

Summary

We construct the whole class of nonlinear matrix differential difference equations which contains discrete versions of the sine-Gordon and chiral-field equations. For any member of this class we show how to construct the Lax operators and the Bäcklund transformations.

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References

  1. M. Bruschi, D. Levi andO. Ragnisco:The Chiral-Field Hierarchy, preprint I.F.U., Roma, No. 271, submitted toPhys. Lett. A, for publication.

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Authors and Affiliations

  1. Istituto di Fisica dell’Università, 00185, Roma, Italia

    M. Bruschi, D. Levi & O. Ragnisco

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Roma, Italy

    M. Bruschi, D. Levi & O. Ragnisco

Authors
  1. M. Bruschi
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  2. D. Levi
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  3. O. Ragnisco
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Additional information

The research reported in this letter has been partially supported by C.N.R. grant No. 80.02459.02 and Nato grant No. 057.81.

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Bruschi, M., Levi, D. & Ragnisco, O. The discrete chiral-field hierarchy. Lett. Nuovo Cimento 33, 284–288 (1982). https://doi.org/10.1007/BF02725994

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  • DOI: https://doi.org/10.1007/BF02725994

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