Darboux transformation and multi-soliton solutions of discrete sine-Gordon equation (2004.07758v1)

Published 16 Apr 2020 in nlin.SI and hep-th

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.

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