Sufficient conditions of blowup to a shallow water wave equation
The blow-up features of a shallow water wave equation on the line R are investigated. The L2 conservation law is utilized to derive several estimates of solutions for the equation. Sufficient conditions for wave breaking and lifespan of the solutions are established. Our main results contain parts of the wave breaking conditions for the Fornberg–Whitham and Degasperis–Procesi equations in the previous literatures.
Authors
- Shaoyong Lai (ORCID: https://orcid.org/0000-0003-0181-2695)
- Changtai Zhou (ORCID: https://orcid.org/0000-0002-9023-2598)
- Jin Hong (ORCID: https://orcid.org/0000-0003-2789-0608)
Institutions
- Southwestern University of Finance and Economics (CN)
- Yili Normal University (CN)
Publication Details
- Journal
- Results in Applied Mathematics
- Published
- 2024-08-01
- DOI
- https://doi.org/10.1016/j.rinam.2024.100487
- Citations
- 2
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 1.78