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arXiv · 2004.07758

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

Y. Hanif·U. Saleem
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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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Y. Hanif, U. Saleem. 2020-04-16. Darboux transformation and multi-soliton solutions of discrete sine-Gordon equation. https://arxiv.org/abs/2004.07758

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