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

Qingning Zhang; Li Li; Zaihong Jiang; Qing Lu

doi:10.1002/mma.9864

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

Qingning Zhang
, Li Li^*
, Zaihong Jiang
, Qing Lu

^*Corresponding author for this work

Ningbo University
Zhejiang Normal University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	5266-5285
Number of pages	20
Journal	Mathematical Methods in the Applied Sciences
Volume	47
Issue number	6
DOIs	https://doi.org/10.1002/mma.9864
State	Published - Apr 2024
Externally published	Yes

Keywords

blow-up criterion
global existence
large time behavior
persistence property
the fifth-order Camassa-Holm type equation

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10.1002/mma.9864

Cite this

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abstract = "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.",

keywords = "blow-up criterion, global existence, large time behavior, persistence property, the fifth-order Camassa-Holm type equation",

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N2 - 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.

AB - 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.

KW - blow-up criterion

KW - global existence

KW - large time behavior

KW - persistence property

KW - the fifth-order Camassa-Holm type equation

UR - https://www.scopus.com/pages/publications/85181528210

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IS - 6

ER -

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

Abstract

Keywords

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