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- W2277351744 abstract "Abstract In this paper, one-dimensional (1D) nonlinear wave equation u t t − u x x + m u + u 2 p + 1 = 0 , p ∈ N , on the finite x-interval [ 0 , π ] with Dirichlet boundary conditions is considered. It is proved that there are many 2-dimensional elliptic invariant tori, and thus quasi-periodic solutions for the above equation. The proof is based on infinite-dimensional KAM theory and partial Birkhoff normal form." @default.
- W2277351744 created "2016-06-24" @default.
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- W2277351744 date "2014-02-01" @default.
- W2277351744 modified "2023-09-29" @default.
- W2277351744 title "Quasi-periodic solutions for 1D wave equation with the nonlinearityu2p+1" @default.
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- W2277351744 doi "https://doi.org/10.1016/j.jmaa.2013.08.066" @default.
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