Mathematical Methods in the Applied Sciences

Volume 46, Issue 6 pp. 7215-7229

RESEARCH ARTICLE

Blow-up of solutions for an integrable periodic two-component Camassa-Holm system with cubic nonlinearity

Min Zhu,

Corresponding Author

Min Zhu

[email protected]

orcid.org/0000-0002-1842-6128

Department of Mathematics, Nanjing Forestry University, Nanjing, Jiangsu, 210037 China

Correspondence

Min Zhu, Department of Mathematics, Nanjing Forestry University, Nanjing, Jiangsu 210037, China.

Email: [email protected]

Communicated by: M. Reissig

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Ying Wang,

Ying Wang

Department of Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731 China

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Min Zhu,

Corresponding Author

Min Zhu

[email protected]

orcid.org/0000-0002-1842-6128

Department of Mathematics, Nanjing Forestry University, Nanjing, Jiangsu, 210037 China

Correspondence

Min Zhu, Department of Mathematics, Nanjing Forestry University, Nanjing, Jiangsu 210037, China.

Email: [email protected]

Communicated by: M. Reissig

Search for more papers by this author

Ying Wang,

Ying Wang

Department of Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731 China

Search for more papers by this author

First published: 22 December 2022

https://doi.org/10.1002/mma.8966

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Abstract

This paper considers the Cauchy problem and blow-up phenomena of a new integrable two-component Camassa-Holm system with cubic nonlinearity, which includes the Fokas-Olver-Rosenau-Qiao equation as the special case. The local well-posedness for the system is studied. Moreover, the precise blow-up scenario for strong solutions to the system is established and three new blow-up results with respect to the initial data are obtained.

CONFLICT OF INTEREST

The authors declare that we have no known competing financial interest or personal relationships that could have appeared to influence the work reported in this paper.

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Volume46, Issue6

April 2023

Pages 7215-7229

Blow-up of solutions for an integrable periodic two-component Camassa-Holm system with cubic nonlinearity

Abstract

CONFLICT OF INTEREST

REFERENCES

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Blow-up of solutions for an integrable periodic two-component Camassa-Holm system with cubic nonlinearity

Abstract

CONFLICT OF INTEREST

REFERENCES

References

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