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Dynamics of breathers and rogue waves for a generalized discrete Hirota equation

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Abstract

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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Funding

This work was supported by the National Natural Science Foundation of China [Grant Number 11801597].

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Authors and Affiliations

  1. College of Science, Minzu University of China, Beijing, 100081, China

    Sheng-Xiong Yang, Yu-Feng Wang & Xi Zhang

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  1. Sheng-Xiong Yang
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  2. Yu-Feng Wang
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Correspondence to Yu-Feng Wang.

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Yang, SX., Wang, YF. & Zhang, X. Dynamics of breathers and rogue waves for a generalized discrete Hirota equation. Eur. Phys. J. Plus 138, 779 (2023). https://doi.org/10.1140/epjp/s13360-023-04416-0

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