The Baecklund transformation equations for the ultradiscrete KP equation

Abstract

The Baecklund transformation for the ultradiscrete KP equation is proposed. An algorithm to eliminate variables from the ultradiscrete linear equations is proposed. The consistency condition for the Baecklund transformation equations is obtained via the algorithm.

References in corpus (3)

• Quantum Integrable Systems and Elliptic Solutions of Classical Discrete Nonlinear Equations
• A Symmetric Generalization of Linear Bäcklund Transformation associated with the Hirota Bilinear Difference Equation
• Symmetric Linear Backlund Transformation for Discrete BKP and DKP equation

Cited by in corpus (4)

• Supersymmetric Bethe Ansatz and Baxter Equations from Discrete Hirota Dynamics
• Bilinear Equations and Bäcklund Transformation for Generalized Ultradiscrete Soliton Solution
• Vertex operator for the non-autonomous ultradiscrete KP equation
• Solutions to the ultradiscrete KP hierarchy and its reductions