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- W4323341944 abstract "In this paper, we will study the Hamiltonian derivative wave equation with higher order nonlinearity begin{document}$ y_{tt}-y_{xx}+my+(Dy)^5 = 0, quad xinmathbb{T}: = mathbb{R}/2pimathbb{Z}, $end{document} where $ m>0 $ is a potential and begin{document}$ D: = sqrt{-partial_{xx}+m}. $end{document} We will prove that, for any integer $ bgeq2 $, the above equation admits many small amplitude quasi-periodic solutions corresponding to $ b $-dimensional invariant tori of an associated infinite dimensional Hamiltonian system. The proof is based on infinite dimensional KAM theory and partial Birkhoff normal form." @default.
- W4323341944 created "2023-03-08" @default.
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- W4323341944 date "2023-01-01" @default.
- W4323341944 modified "2023-10-14" @default.
- W4323341944 title "Invariant tori for the Hamiltonian derivative wave equation with higher order nonlinearity" @default.
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- W4323341944 doi "https://doi.org/10.3934/cpaa.2023033" @default.
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