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Reductions of the Volterra and Toda chains

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Abstract

We consider Volterra and Toda systems. Using certain algebraic relations, we construct a denumerable class of reductions of these differential-difference systems. The result is given by finite-dimensional systems with Bäcklund autotransformations.

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Authors and Affiliations

  1. Institute for Dynamic Systems and Control Theory, Irkutsk, Russia

    A. K. Svinin

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  1. A. K. Svinin
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 124, No. 3, pp. 419–425, September, 2000.

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Svinin, A.K. Reductions of the Volterra and Toda chains. Theor Math Phys 124, 1211–1216 (2000). https://doi.org/10.1007/BF02550999

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  • DOI: https://doi.org/10.1007/BF02550999

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