AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (247 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Blow-up solution and analyticity to a generalized Camassa-Holm equation

Ying Wang, Yunxi Guo( )
Department of Mathematics, Zunyi Normal University, 563006, Zunyi, China
Show Author Information

Abstract

A generalized Camassa-Holm equation with higher order nonlinear term was studied. First, we give a new blow-up criterion and a new blow-up phenomenon to the Cauchy problem for the equation under some conditions. Then, we focus on the analytical solutions for the equation. Finally, we prove the analyticity of solution for the equation.

Keywords

blow-up criterionblow-up phenomenonanalytical solutionsanalyticitya generalized Camassa-Holm equation
CLC number: 35D05, 35G25, 35L05, 35Q35

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 5,
May 2023
Pages 10728-10744
DOI: 10.3934/math.2023544

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Wang Y, Guo Y. Blow-up solution and analyticity to a generalized Camassa-Holm equation. AIMS Mathematics, 2023, 8(5): 10728-10744. https://doi.org/10.3934/math.2023544

119

Views

1

Downloads

1

Crossref

1

Web of Science

1

Scopus
Received: 15 December 2022
Revised: 14 February 2023
Accepted: 22 February 2023
Published: 15 May 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)