Journal
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS
Volume 2020, Issue 6, Pages -Publisher
OXFORD UNIV PRESS INC
DOI: 10.1093/ptep/ptaa068
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We study the discrete Darboux transformation and construct multi-soliton solutions in terms of the ratio of determinants for the integrable discrete sine-Gordon equation. We also calculate explicit expressions of single-, double-, triple-, and quadruple-soliton solutions as well as single-and double-breather solutions of the discrete sine-Gordon equation. The dynamical features of discrete kinks and breathers are also illustrated.
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