Discrete Time Bogoyavlensky Lattice and Lattice <i> <i>W</i></i> Currents

  • Inoue Rei
    Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7–3–1, Bunkyo, Tokyo 113–0033
  • Hikami Kazuhiro
    Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7–3–1, Bunkyo, Tokyo 113–0033

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タイトル別名
  • Discrete Time Bogoyavlensky Lattice and Lattice W Currents.
  • Discrete Time Bogoyavlensky Lattice and

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The Bogoyavlensky lattice with discrete time is studied.We introduce an integrable integro-difference equation, which isobtained by taking an interaction range to infinity in the Bogoyavlensky lattice.Its integrability is shown by constructing the Lax form.Also studied is a relationship with the fully discrete W currents.

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