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• W2007885462 abstract "We consider the evolution of small amplitude, long wavelength initial data by a polyatomic Fermi--Pasta--Ulam lattice differential equation whose material properties vary periodically. Using the methods of homogenization theory, we prove rigorous estimates that show that the solution breaks up into the linear superposition of two appropriately scaled and modulated counter-propagating waves, each of which solves a Korteweg--de Vries equation, plus a small error. The estimates are valid over very long time scales." @default.
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• W2007885462 date "2014-01-01" @default.
• W2007885462 modified "2023-09-26" @default.
• W2007885462 title "Approximation of Polyatomic FPU Lattices by KdV Equations" @default.
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• W2007885462 doi "https://doi.org/10.1137/130941638" @default.
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