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- W2071810300 abstract "In this paper, one-dimensional generalized Boussinesq equation: utt − uxx + (u2 + uxx)xx = 0 with boundary conditions ux(0, t) = ux(π, t) = uxxx(0, t) = uxxx(π, t) = 0 is considered. It is proved that the equation admits a Whitney smooth family of small-amplitude quasi-periodic solutions with 2-dimensional Diophantine frequencies. The proof is based on an infinite dimensional Kolmogorov-Arnold-Moser theorem and Birkhoff normal form." @default.
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- W2071810300 date "2015-02-01" @default.
- W2071810300 modified "2023-10-13" @default.
- W2071810300 title "On quasi-periodic solutions for generalized Boussinesq equation with quadratic nonlinearity" @default.
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- W2071810300 doi "https://doi.org/10.1063/1.4906810" @default.
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