Quasi-Periodic Solutions of the Generalized KdV Equation
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@Article{ATA-41-99,
author = {Lou , Zhaowei and Sun , Yingnan},
title = {Quasi-Periodic Solutions of the Generalized KdV Equation},
journal = {Analysis in Theory and Applications},
year = {2025},
volume = {41},
number = {2},
pages = {99--110},
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.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2024-0031}, url = {http://global-sci.org/intro/article_detail/ata/24278.html} }
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 -
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.
Lou , Zhaowei and Sun , Yingnan. (2025). Quasi-Periodic Solutions of the Generalized KdV Equation.
Analysis in Theory and Applications. 41 (2).
99-110.
doi:10.4208/ata.OA-2024-0031
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