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Explicit solutions to two-dimensionalized Volterra equations

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Abstract

It is shown that two-dimensionalized Volterra equations (or differenceK-dV) represent a Bäcklund transformation for a two-dimensional Toda lattice. This circumstance allows us to construct explicit solutions to Volterra equations on the basis of the known general solutions [1] of Toda lattice.

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Author notes

  1. V. G. Smirnov

    Present address: Moscow Institute of Electronic Engineering, Serpukhov, USSR

Authors and Affiliations

  1. Institute for Higher Energy Physics, Protvino, P.O. 142284, Serpukhov, Moscow Region, USSR

    A. N. Leznov, M. V. Saveliev & V. G. Smirnov

Authors
  1. A. N. Leznov
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  2. M. V. Saveliev
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  3. V. G. Smirnov
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Leznov, A.N., Saveliev, M.V. & Smirnov, V.G. Explicit solutions to two-dimensionalized Volterra equations. Lett Math Phys 4, 445–449 (1980). https://doi.org/10.1007/BF00943429

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  • DOI: https://doi.org/10.1007/BF00943429

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