Backlund Transformation for the BC-Type Toda Lattice

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JournalSymmetry integrability and geometry-Methods and applications
DatePublished - 25 Jul 2007
Volume3
Number of pages17
Pages (from-to)1-17
Original languageEnglish

Abstract

We study an integrable case of n-particle Toda lattice: open chain with boundary terms containing 4 parameters. For this model we construct a Backlund transformation and prove its basic properties: canonicity, commutativity and spectrality. The Backlund transformation can be also viewed as a discretized time dynamics. Two Lax matrices are used: of order 2 and of order 2n + 2, which are mutually dual, sharing the same spectral curve.

    Research areas

  • Backlund transformation, Toda lattice, integrability, boundary conditions, classical Lie algebras

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