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Some properties for the fifth-order Camassa-Holm type equation
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  • Qingning Zhang,
  • Li Li,
  • Zaihong Jiang,
  • Qing Lu
Qingning Zhang
Ningbo University
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Li Li
Ningbo University

Corresponding Author:lili2@nbu.edu.cn

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Zaihong Jiang
Zhejiang Normal University
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Qing Lu
Ningbo University
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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.

Peer review status:UNDER REVIEW

20 Mar 2023Submitted to Mathematical Methods in the Applied Sciences
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20 Mar 2023Submission Checks Completed
20 Mar 2023Assigned to Editor
24 Mar 2023Review(s) Completed, Editorial Evaluation Pending
14 Apr 2023Reviewer(s) Assigned
03 Aug 2023Editorial Decision: Revise Minor
30 Aug 20231st Revision Received
30 Aug 2023Submission Checks Completed
30 Aug 2023Assigned to Editor
30 Aug 2023Review(s) Completed, Editorial Evaluation Pending
01 Sep 2023Reviewer(s) Assigned
29 Sep 2023Editorial Decision: Revise Minor
02 Oct 20232nd Revision Received
03 Oct 2023Submission Checks Completed
03 Oct 2023Assigned to Editor
03 Oct 2023Review(s) Completed, Editorial Evaluation Pending
25 Oct 2023Reviewer(s) Assigned