A Symmetric Generalization of Linear Bäcklund Transformation associated with the Hirota Bilinear Difference Equation

Abstract

The Hirota bilinear difference equation is generalized to discrete space of arbitrary dimension. Solutions to the nonlinear difference equations can be obtained via Bäcklund transformation of the corresponding linear problems.

Latex, 12 pages, 1 figure

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Cited by in corpus (7)

• T-systems and Y-systems in integrable systems
• Supersymmetric Bethe Ansatz and Baxter Equations from Discrete Hirota Dynamics
• Backlund transformations for difference Hirota equation and supersymmetric Bethe ansatz
• Discrete KP equation with self-consistent sources
• The Baecklund transformation equations for the ultradiscrete KP equation
• Symmetric Linear Backlund Transformation for Discrete BKP and DKP equation
• Singularity Confinement and Projective Resolution of Triangulated Category