Darboux transformation and multi-soliton solutions of discrete sine-Gordon equation

Abstract

We study a discrete Darboux transformation and construct the multi-soliton solutions in terms of ratio of determinants for integrable discrete sine-Gordon equation. We also calculate explicit expressions of single, double, triple, quad soliton solutions as well as single and double breather solutions of discrete sine-Gordon equation. Dynamical features of discrete kinks and breathers have also been illustrated.

1+18 Pages, 12 Figures (6 Fig)