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- W4364365846 abstract "In this paper, we establish an abstract infinite dimensional KAM theorem. As an application, we use the theorem to study the 1D wave equation system {u1tt−u1xx+σu1+u1u22=0u2tt−u2xx+μu2+u12u2=0under Dirichlet boundary conditions, where 0<σ∈[σ1,σ2]⊂[0,1], 0<μ∈[μ1,μ2]⊂[0,1] are real parameters. By establishing a block-diagonal normal form, we obtain the existence of a Whitney smooth family of small amplitude quasi-periodic solutions corresponding to finite dimensional invariant tori of an associated infinite dimensional dynamic system." @default.
- W4364365846 created "2023-04-12" @default.
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- W4364365846 date "2023-04-11" @default.
- W4364365846 modified "2023-09-30" @default.
- W4364365846 title "Quasi-periodic solutions for a class of wave equation system" @default.
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- W4364365846 doi "https://doi.org/10.1080/00036811.2023.2200398" @default.
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