Bäcklund Transformation for the Exponential Lattice

Abstract

A Bäcklund transformation associated with the equation of motion for an exponential lattice is found. It is shown that recursive application of the transformation provides an algebraic recursion formula for the solutions. Using the recursion formula, two-soliton solution is obtained and a method for constructing N -soliton solution is presented. It is also shown that the fundamental equations of inverse method and conservation laws can be derived from the transformation.