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Orbital stability of solitary waves for a two-component Novikov system

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Abstract

We consider solitary wave solutions of a two-component Novikov system, which is a coupled Camassa-Holm type system with cubic nonlinearity. Inspired by the methods established by Constantin and Strauss in [6, 7], we prove that the smooth solitary waves and non-smooth peakons to the system are both orbitally stable.

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Acknowledgements

This work was supported by the Project of Science and Technology of Guangzhou (No. 2023A04J1318). The author thanks the referees for their valuable comments and suggestions.

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  1. School of Mathematics and Statistics, Guangdong University of Technology, Guangzhou, 510520, China

    Rudong Zheng

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  1. Rudong Zheng
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Zheng, R. Orbital stability of solitary waves for a two-component Novikov system. Annali di Matematica (2023). https://doi.org/10.1007/s10231-023-01391-2

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