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On finite-zone solutions of relativistic Toda lattices

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Abstract

The finite-zone solutions of relativistic Toda lattices are investigated using the recurrence relations method. As a result, a nonlinear bundle of relativistic Toda lattices is with corresponding stationary and dynamical systems. New Poisson and Hamiltonian structures are introduced. Then the problem of integrating the obtained canonical systems are reduced to the Jacobi problem of inversion.

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Authors and Affiliations

  1. Department of Mathematics, The University of Pennsylvania, 19104-6395, Philadelphia, PA, USA

    Solomon J. Alber

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  1. Solomon J. Alber
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Alber, S.J. On finite-zone solutions of relativistic Toda lattices. Lett Math Phys 17, 149–155 (1989). https://doi.org/10.1007/BF00402329

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  • DOI: https://doi.org/10.1007/BF00402329

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