Quasi-Periodic solutions to Hamiltonian derivative wave <inline-formula><tex-math id="M1">$ d $</tex-math></inline-formula> Systems with different tangential sites

We use an abstract KAM (Kolmogorov-Arnold-Moser) theorem constructed by Berti-Biasco-Procesi[1] for Hamiltonian derivative wave equations to prove the existence of quasi-periodic solutions with different tangential sites to a class of coupled nonlinear Hamiltonian derivative wave $ d $ systems on $ \mathbb{T}. $

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Publication Details

Journal
Communications on Pure &amp Applied Analysis
Published
2025-01-01
DOI
https://doi.org/10.3934/cpaa.2025074
Primary Topic
Quantum chaos and dynamical systems
Type
article
Field-Weighted Citation Impact
0.00

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article

Quasi-Periodic solutions to Hamiltonian derivative wave <inline-formula><tex-math id="M1">$ d $</tex-math></inline-formula> Systems with different tangential sites

Ningning Chang, Yingnan Sun, Shuaishuai Xue
Communications on Pure &amp Applied Analysis
Quantum chaos and dynamical systems
article

Quasi-Periodic solutions to Hamiltonian derivative wave <inline-formula><tex-math id="M1">$ d $</tex-math></inline-formula> Systems with different tangential sites

Ningning Chang, Yingnan Sun, Shuaishuai Xue
article en

Abstract

We use an abstract KAM (Kolmogorov-Arnold-Moser) theorem constructed by Berti-Biasco-Procesi[1] for Hamiltonian derivative wave equations to prove the existence of quasi-periodic solutions with different tangential sites to a class of coupled nonlinear Hamiltonian derivative wave $ d $ systems on $ \mathbb{T}. $

Communications on Pure &amp Applied AnalysisVol. 0(0)
Nanjing Audit University (CN), Nanjing University of Aeronautics and Astronautics (CN)
National Natural Science Foundation of China, Natural Science Foundation of Hebei Province, Ministry of Industry and Information Technology of the People's Republic of China, Qinglan Project of Jiangsu Province of China
Openalex Percentile: Top 90%
Quantum chaos and dynamical systems
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