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Soliton solutions and their degenerations in the (2+1)-dimensional Hirota–Satsuma–Ito equations with time-dependent linear phase speed

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Abstract

This paper focuses on the exact soliton solutions of the (2+1)-dimensional generalized Hirota–Satsuma–Ito equations with time-dependent linear phase speed. Based on the Painlevé integrability test of this equation, the condition of the integrability is determined. Then the general N-soliton solutions are constructed by Hirota bilinear method. Not only the expressions of exact solutions and their degenerations, but also the spatial structures are presented for different choices of the parameters, including the line soliton, periodic soliton, lump soliton and their interaction forms.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (No. 11905013), the Beijing Natural Science Foundation (No. 1222005), Qin Xin Talents Cultivation Program of Beijing Information Science and Technology University (QXTCP C202118).

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  1. School of Applied Science, Beijing Information Science and Technology University, Beijing, 100192, China

    Xin Chen, Yaqing Liu & Jianhong Zhuang

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  1. Xin Chen
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Chen, X., Liu, Y. & Zhuang, J. Soliton solutions and their degenerations in the (2+1)-dimensional Hirota–Satsuma–Ito equations with time-dependent linear phase speed. Nonlinear Dyn 111, 10367–10380 (2023). https://doi.org/10.1007/s11071-023-08348-3

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