Qualitative analysis for a two-component peakon system with cubic nonlinearity

Authors

Shaojie Yang
Zhijun Qiao, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

12-1-2022

Abstract

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.

Comments

© 2022 Author(s). Published under an exclusive license by AIP Publishing. Original published version available at https://doi.org/10.1063/5.0123524

Recommended Citation

Shaojie Yang and Zhijun Qiao , "Qualitative analysis for a two-component peakon system with cubic nonlinearity", J. Math. Phys. 63, 121504 (2022) https://doi.org/10.1063/5.0123524

Publication Title

Journal of Mathematical Physics

DOI

10.1063/5.0123524