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Wave–wave interaction of an extended evolution equation with complete Coriolis parameters

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Abstract

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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Acknowledgements

Our article is supported by the National Natural Science Foundation of China (12262025). The Natural Science Foundation of Inner Mongolia Autonomous Region (2022QN01003). The Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region (NJYT23099 and NMGIRT2208). Inner Mongolia Autonomous Region University research Project (NJZY23116). The Program for improving the Scientific Research Ability of Youth Teachers of Inner Mongolia Agricultural University (BR220126). Basic scientific research funds of universities directly under the Inner Mongolia Autonomous Region (22BR0902).

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  1. College of Science, Inner Mongolia Agriculture University, Hohhot, 010018, China

    Na Cao, **aoJun Yin, LiYang Xu & ShuTing Bai

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  1. Na Cao
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Correspondence to **aoJun Yin.

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Cao, N., Yin, X., Xu, L. et al. Wave–wave interaction of an extended evolution equation with complete Coriolis parameters. Eur. Phys. J. Plus 138, 708 (2023). https://doi.org/10.1140/epjp/s13360-023-04288-4

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