School of Mathematical and Statistical Sciences Faculty Publications and Presentations

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This paper is devoted to studying a two-component peakon system with cubic nonlinearity, which is a two-component extension of the cubic Camassa–Holm equation. We first discuss the local well-posedness for the Cauchy problem of the system. Then, in light of a fine structure of the system, we present the precise blow-up scenario for strong solutions to the system and derive a new blow-up result with respect to initial data. Finally, peakon solutions are discussed as well.


© 2022 Author(s). Published under an exclusive license by AIP Publishing. Original published version available at

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Journal of Mathematical Physics



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Mathematics Commons



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