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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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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.
20 Mar 2023Submitted to Mathematical Methods in the Applied Sciences
20 Mar 2023Assigned to Editor
20 Mar 2023Submission Checks Completed
24 Mar 2023Review(s) Completed, Editorial Evaluation Pending
14 Apr 2023Reviewer(s) Assigned