Some properties for the fifth‐order Camassa‐Holm type equation-Reference-Cited by-同舟云学术

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

Published:2024-01-04 Issue:6 Volume:47 Page:5266-5285
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Zhang Qingning¹^ORCID,Li Li¹,Jiang Zaihong²,Lu Qing¹

Affiliation:

1. School of Mathematics and Statistics Ningbo University Ningbo China

2. School of Mathematical Sciences Zhejiang Normal University Jinhua China

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.

Funder

Natural Science Foundation of Zhejiang Province

National Natural Science Foundation of China

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9864

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