https://doi.org/10.1140/epjp/s13360-023-04288-4
Regular Article
Wave–wave interaction of an extended evolution equation with complete Coriolis parameters
College of Science, Inner Mongolia Agriculture University, 010018, Hohhot, China
Received:
2
August
2022
Accepted:
15
July
2023
Published online:
13
August
2023
An extended evolution equation is studied by means of Hirota bilinear method in this article, and it is gained from local Cartesian coordinate system of the basic equation group by applying scaling analysis and perturbation expansions. Firstly, the equation is transformed into Hirota form by variable transformation. Secondly, based on Hirota equation, we obtained the soliton, breather, rogue wave and interaction solutions of the equation. At last, figures of these solutions and the interaction of wave–wave are showed by choosing appropriate parameters. The effects of the horizontal Coriolis parameter on the soliton, breather, rogue wave, interaction solutions are conducted. We believe that the results have significant impaction in ocean dynamics.
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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.