TY - JOUR
T1 - Quasi-Periodic Solutions of the Generalized KdV Equation
AU - Lou , Zhaowei
AU - Sun , Yingnan
JO - Analysis in Theory and Applications
VL - 2
SP - 99
EP - 110
PY - 2025
DA - 2025/07
SN - 41
DO - http://doi.org/10.4208/ata.OA-2024-0031
UR - https://global-sci.org/intro/article_detail/ata/24278.html
KW - KAM theorem, generalized KdV equation, normal form, quasi-periodic solution.
AB - <p style="text-align: justify;">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.</p>