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Hetero-Bäcklund Transformation, Bilinear Forms and N Solitons for a Generalized Three-Coupled Korteweg-de Vries System

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Abstract

Korteweg-de Vries-type models attract people’s attention during the studies on the cosmic plasmas, planetary oceans and atmospheres. In this paper, on a generalized three-coupled Korteweg-de Vries system, symbolic computation comes to a hetero-Bäcklund transformation, while the Hirota method and symbolic computation bring about some bilinear forms and multi-solutions. Our results are dependent on the coefficients in that system.

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Acknowledgements

We express our sincere thanks to the Editors and Reviewers for their valuable comments. This work has been supported by the National Nature Science Foundation of China under Grant No. 11871116 and Fundamental Research Funds for the Central Universities of China under Grant No. 2019XD-A11. XYG also thanks the National Scholarship for Doctoral Students of China and BUPT Innovation and Entrepreneurship Support Program, Beijing University of Posts and Telecommunications.

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  1. State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan

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Gao, XY., Guo, YJ. & Shan, WR. Hetero-Bäcklund Transformation, Bilinear Forms and N Solitons for a Generalized Three-Coupled Korteweg-de Vries System. Qual. Theory Dyn. Syst. 20, 87 (2021). https://doi.org/10.1007/s12346-021-00512-7

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