Orbital stability of pseudo-peakons for the fifth-order Camassa-Holm type equation. (English) Zbl 1530.35252
Summary: In this paper, we consider the fifth-order Camassa-Holm type equation which is integrable and admits the single pseudo-peakons and multi-pseudo-peakons. We discuss the orbital stability of single pseudo-peakons.
MSC:
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 35C08 | Soliton solutions |
| 35B35 | Stability in context of PDEs |
| 37K10 | Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) |
| 37K35 | Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 35A02 | Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness |
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