https://doi.org/10.1140/epjs/s11734-024-01206-2
Regular Article
Coupled Hirota system: higher-order rogue waves and multi-solitons structures
1
Department of Mathematics, North University of China, 030051, Taiyuan, Shanxi, China
2
Faculty of Materials and Manufacturing, Beijing University of Technology, 100124, Beijing, China
3
Department of Mathematics, Changshu Institute of Technology, Suzhou, China
4
Department of Mechanics, GuangXi University, Nanning, China
a
songni@nuc.edu.cn
e
zbl702533@126.com
Received:
14
January
2024
Accepted:
4
June
2024
Published online:
21
June
2024
In this work, the higher-order localized waves for a coupled Hirota system are analytically investigated, providing a way to describe the wave propagation of two ultrashort optical fields in a birefringent fiber. On the basis of the seed solutions and Lax pair, Nth-order localized wave solutions on the plane backgrounds are derived. The interaction between a third-order rogue wave and three dark-bright solitons or three Akhmediev breathers are graphically analyzed via numerical simulation. The results enrich what is known about the dynamical structures of coupled nonlinear systems.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.
