Darboux transformation and multi-soliton solutions of discrete sine-Gordon equation
Exactly Solvable and Integrable Systems
2020-04-17 v1 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.2004.07758,
title = {Darboux transformation and multi-soliton solutions of discrete sine-Gordon equation},
author = {Y. Hanif and U. Saleem},
journal= {arXiv preprint arXiv:2004.07758},
year = {2020}
}
Comments
1+18 Pages, 12 Figures (6 Fig)