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• W31278 abstract "Acoustic waves on elastic rods with circular cross section are governed by so-called improved Boussinesq equations when transverse motion and nonlinearity in the medium are taken into account. Solitary waves to these equations are shown to possess soliton-like properties in agreement with the fact that the impro ed Boussinesq equations are nearly integrable. Numerical investigations of blow up (in finite time), reflection and fission of solitary waves are presented in the cases of ending rods and rods with varying cross-section. The results are applied in a model for DNA-molecules in aqueous solution which is capable to predict the influence of anharmonicity on the spectral properties of this important molecule." @default.
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• W31278 date "1989-01-01" @default.
• W31278 modified "2023-09-27" @default.
• W31278 title "Solitary Waves on Nonlinear Elastic Rods" @default.
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• W31278 doi "https://doi.org/10.1016/b978-0-444-87272-2.50029-4" @default.
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