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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Periodic solutions of the generalized KdV equation
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by Yingnan Sun PDF
Proc. Amer. Math. Soc. 148 (2020), 2103-2110 Request permission

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