Instability of \(H^1\)-stable periodic peakons for the higher-order \(\mu\)-Camassa-Holm equation

DOI10.1016/j.jmaa.2023.127830zbMath1540.35339MaRDI QIDQ6542826

Ying Fu, Hao Wang, Gezi Chong

Publication date: 23 May 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

blow-upmethod of characteristicsnonlinear instabilityhigher-order \(\mu\)-Camassa-Holm equationperiodic peaked waves

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44) Soliton solutions (35C08)

This page was built for publication: Instability of \(H^1\)-stable periodic peakons for the higher-order \(\mu\)-Camassa-Holm equation