https://doi.org/10.1140/epjp/s13360-023-04416-0
Regular Article
Dynamics of breathers and rogue waves for a generalized discrete Hirota equation
College of Science, Minzu University of China, 100081, Beijing, China
Received:
13
June
2023
Accepted:
26
August
2023
Published online:
1
September
2023
Under investigation in this paper is a generalized discrete Hirota equation. Based on Lax pair, the Nth-fold Darboux transformation is constructed. The one- and two-breather solutions are obtained and analyzed. The first- and second-order rogue wave solutions are derived and investigated. The influences of parameters for solutions are discussed. In particular, the different structures of second-order rogue wave are observed. Moreover, the interaction solutions between rogue wave and one breather are constructed and studied.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
