Long time behavior of the solutions of Benjamin–Bona–Mahony Equation
We study the time of existence of the solutions of the following Benjamin–Bona–Mahony (BBM) equation subject to periodic boundary condition ut − uxxt + ux + uux = 0, u(t,0)=u(t,T), where T stands for the period. We prove an almost global existence result for the above BBM equation by using Birkhoff normal form, which enriched and improved the dynamic properties of BBM equation.
Authors
- Lufang Mi (ORCID: https://orcid.org/0000-0002-6164-8535)
- Peizhen Wang (ORCID: https://orcid.org/0000-0002-7252-8176)
- Juan Zhao
Institutions
- Xinjiang Normal University (CN)
- Shandong University (CN)
- Sichuan University (CN)
- Chengdu University (CN)
Publication Details
- Journal
- Journal of Mathematical Physics
- Published
- 2026-02-01
- DOI
- https://doi.org/10.1063/5.0281030
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.00