General Solutions to the Bäcklund Transformation of Hirota’s Bilinear Difference Equation

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  • General Solutions to the Backlund Transformation of Hirota′s Bilinear Difference Equation
  • General Solutions to the Backlund Trans

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Hirota’s bilinear difference equation (discrete analogue of two dimensional Toda lattice) is formulated in a gauge symmetric form. A linear Bäcklund transformation is derived from the duality of gauge fields and field amplitudes and is solved explicitly. Some properties of the solutions and a relation to scattering amplitudes of the inverse scattering method are discussed.

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