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

Authors :
Hanif, Y.
Saleem, U.
Publication Year :
2020

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.<br />Comment: 1+18 Pages, 12 Figures (6 Fig)

Subjects

Subjects :
Nonlinear Sciences - Exactly Solvable and Integrable Systems
High Energy Physics - Theory

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2004.07758
Document Type :
Working Paper

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