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• W2898041823 abstract "We consider a monatomic nonlinear mass–spring chain with first and second-neighbor interactions and show that there is a parameter range where solitary waves in this system are strictly supersonic. In these regimes standard quasicontinuum theories, targeting long-wave limits of lattice models, are not adequate since even weak strictly supersonic solitary waves are of envelope type and crucially involve a microscopic scale in addition to the mesoscopic scale of the envelope. To capture this effect in a continuum setting it is necessary to employ unconventional, higher-order quasicontinuum approximations carrying more than one length scale." @default.
• W2898041823 created "2018-10-26" @default.
• W2898041823 creator A5006908711 @default.
• W2898041823 creator A5059382243 @default.
• W2898041823 date "2019-02-01" @default.
• W2898041823 modified "2023-09-30" @default.
• W2898041823 title "Strictly supersonic solitary waves in lattices with second-neighbor interactions" @default.
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• W2898041823 doi "https://doi.org/10.1016/j.physd.2018.10.001" @default.
• W2898041823 hasPublicationYear "2019" @default.
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