Rotating periodic solutions of a modified Swift-Hohenberg equation
In this paper we studied the spatiotemporal periodic solutions problem to a modified Swift-Hohenberg equation. We proved a new version of the weak maximum principle and used the lower and upper solutions method and the monotone iterative technique to establish the existence of rotating periodic solutions. Finally, some examples were used to illustrate our result.
Authors
- Ziying Chen (ORCID: https://orcid.org/0009-0001-5833-8253)
- Zheng Li (ORCID: https://orcid.org/0000-0001-8764-3196)
Institutions
- Chinese Academy of Sciences (CN)
- Changchun Institute of Optics, Fine Mechanics and Physics (CN)
Publication Details
- Journal
- Discrete and Continuous Dynamical Systems - S
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/dcdss.2025114
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00