Blow-up phenomena for a nonlinear shallow water wave model
We investigate a nonlinear shallow water wave equation, which contains the Fornberg–Whitham model. The $L^{2}$ conservation law of solutions for the nonlinear equation is derived. Employing the Riccati-type differential inequalities, we give sufficient conditions such that the wave breaking of solutions happens at finite time. The wave-breaking rate and lifespan of solutions are also discussed.
Authors
- Shaoyong Lai (ORCID: https://orcid.org/0000-0003-0181-2695)
- Siyu Wei (ORCID: https://orcid.org/0000-0003-2677-3020)
- Jun Meng (ORCID: https://orcid.org/0000-0002-7633-3624)
- Jun Ma (ORCID: https://orcid.org/0000-0002-6366-5603)
Institutions
- Southwestern University of Finance and Economics (CN)
- Kashi University (CN)
Publication Details
- Journal
- Boundary Value Problems
- Published
- 2025-02-24
- DOI
- https://doi.org/10.1186/s13661-025-02018-6
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.00