Some properties for the fifth‐order Camassa‐Holm type equation

Some properties for the fifth‐order Camassa‐Holm type equation

In this paper, we study several problems of the fifth‐order Camassa‐Holm type (FOCHT) equation. The local well‐posedness and blow‐up scenario are established at first. Then we prove the global existence under some conditions and analyze the large‐time behavior of the support of momentum density. Fin...

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Veröffentlicht in:Mathematical methods in the applied sciences 2024-04, Vol.47 (6), p.5266-5285
Hauptverfasser: Zhang, Qingning, Li, Li, Jiang, Zaihong, Lu, Qing
Format: Artikel
Sprache:eng
Schlagworte:
blow‐up criterion
global existence
large time behavior
persistence property
Sobolev space
the fifth‐order Camassa‐Holm type equation
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Zusammenfassung:In this paper, we study several problems of the fifth‐order Camassa‐Holm type (FOCHT) equation. The local well‐posedness and blow‐up scenario are established at first. Then we prove the global existence under some conditions and analyze the large‐time behavior of the support of momentum density. Finally, we discuss the persistence property in Sobolev space.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.9864