Multi-Pseudo Peakons in the $b$-Family Fifth-Order Camassa–Holm Model

doi:10.1088/0256-307X/40/12/120202

Chin. Phys. Lett.

2023, Vol. 40

Issue (12): 120202 DOI: 10.1088/0256-307X/40/12/120202

GENERAL

Multi-Pseudo Peakons in the $b$-Family Fifth-Order Camassa–Holm Model

Dinghao Zhu and Xiaodong Zhu^*

Laboratory of Mathematics and Complex Systems (Ministry of Education), School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China

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Dinghao Zhu and Xiaodong Zhu 2023 Chin. Phys. Lett. 40 120202

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Abstract The $b$-family fifth-order Camassa–Holm model is a nontrivial extension of the celebrated Camassa–Holm model. This work investigates single-pseudo and multi-pseudo peakon solutions of this model via analytical calculations and numerical simulations. Some intriguing phenomena of multi-pseudo peakon which do not appear in the classical Camassa–Holm model interactions are observed, such as two-pseudo peakon collapses, three-pseudo peakon resonance, and multi-pseudo peakon inelastic collisions. The present work will inspire further studies on the higher-dimensional integrable Camassa–Holm systems which may have high value in investigating the related higher-dimensional physical problems.

Received: 07 October 2023 Published: 21 December 2023

PACS:	02.30.Ik.
	94.05.Fg.

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https://cpl.iphy.ac.cn/10.1088/0256-307X/40/12/120202 OR https://cpl.iphy.ac.cn/Y2023/V40/I12/120202

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