Periodic solutions of the generalized KdV equation
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Abstract:
This paper concerns the existence and linear stability of periodic solutions of the generalized KdV equation. The proof is based on an abstract KAM theorem for infinite dimensional Hamiltonian systems.References
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Additional Information
- Yingnan Sun
- Affiliation: Department of Mathematics, Nanjing University, Nanjing 210093, People’s Republic of China
- Email: flzssun@qq.com
- Received by editor(s): November 8, 2018
- Received by editor(s) in revised form: April 17, 2019, and September 18, 2019
- Published electronically: January 28, 2020
- Communicated by: Wenxian Shen
- © Copyright 2020 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 2103-2110
- MSC (2010): Primary 37K55
- DOI: https://doi.org/10.1090/proc/14958
- MathSciNet review: 4078094