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On wave-breaking phenomena for a new generalized two-component shallow water wave system

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Abstract

In this paper, we mainly devote to investigate a generalized two-component Camassa–Holm system which can be derived from shallow water wave in equatorial ocean regions by Hu and Liu (Phys D 391:87–110, 2019). Depending on different real-valued interval of the competition or balance index \(\sigma \), we establish the new wave-breaking criteria and extend the earlier blow-up results for the system.

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Acknowledgements

The author would like to thank the editor and referees for their valuable comments and suggestions.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, People’s Republic of China

    Xiaofang Dong

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  1. Xiaofang Dong
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Correspondence to Xiaofang Dong.

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Communicated by Adrian Constantin.

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Dong, X. On wave-breaking phenomena for a new generalized two-component shallow water wave system. Monatsh Math 195, 35–53 (2021). https://doi.org/10.1007/s00605-020-01473-w

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