Quasi-Periodic Solutions of the Generalized KdV Equation

Zhaowei Lou; Yingnan Sun

doi:10.4208/ata.OA-2024-0031

Quasi-Periodic Solutions of the Generalized KdV Equation

Authors

Zhaowei Lou
Yingnan Sun

DOI:

https://doi.org/10.4208/ata.OA-2024-0031

Keywords:

KAM theorem, generalized KdV equation, normal form, quasi-periodic solution.

Abstract

This paper concerns the existence of real analytic quasi-periodic solutions close to the constant function 1 of the generalized KdV equation. The proof is based on an abstract KAM theorem for infinite dimensional Hamiltonian systems.

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Published

2025-07-19

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Issue

Vol. 41 No. 2 (2025)

Section

Articles

How to Cite

Quasi-Periodic Solutions of the Generalized KdV Equation. (2025). Analysis in Theory and Applications, 41(2), 99-110. https://doi.org/10.4208/ata.OA-2024-0031