Multi-Pseudo Peakons in the b-Family Fifth-Order Camassa–Holm Model
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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.
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Dinghao Zhu, Xiaodong Zhu. Multi-Pseudo Peakons in the b-Family Fifth-Order Camassa–Holm Model[J]. Chin. Phys. Lett., 2023, 40(12): 120202. DOI: 10.1088/0256-307X/40/12/120202
Dinghao Zhu, Xiaodong Zhu. Multi-Pseudo Peakons in the b-Family Fifth-Order Camassa–Holm Model[J]. Chin. Phys. Lett., 2023, 40(12): 120202. DOI: 10.1088/0256-307X/40/12/120202
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Dinghao Zhu, Xiaodong Zhu. Multi-Pseudo Peakons in the b-Family Fifth-Order Camassa–Holm Model[J]. Chin. Phys. Lett., 2023, 40(12): 120202. DOI: 10.1088/0256-307X/40/12/120202
Dinghao Zhu, Xiaodong Zhu. Multi-Pseudo Peakons in the b-Family Fifth-Order Camassa–Holm Model[J]. Chin. Phys. Lett., 2023, 40(12): 120202. DOI: 10.1088/0256-307X/40/12/120202
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