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Orbital Stability of Peakons for the Modified Camassa—Holm Equation

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Abstract

In this paper, we investigate the orbital stability of the peaked solitons (peakons) for the modified Camassa—Holm equation with cubic nonlinearity. We consider a minimization problem with an appropriately chosen constraint, from which we establish the orbital stability of the peakons under H1 ∩ W1,4 norm.

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Acknowledgements

We thank the referees for their time and valuable comments.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, P. R. China

    Ji Li

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  1. Ji Li
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Correspondence to Ji Li.

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Supported by the NSFC (Grant No. 11771161)

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Li, J. Orbital Stability of Peakons for the Modified Camassa—Holm Equation. Acta. Math. Sin.-English Ser. 38, 148–160 (2022). https://doi.org/10.1007/s10114-022-0425-y

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  • DOI: https://doi.org/10.1007/s10114-022-0425-y

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