Solitary waves on nonlinear elastic rods. I

DOI10.1121/1.391312zbMath0564.73035OpenAlexW2028503560WikidataQ61637358 ScholiaQ61637358MaRDI QIDQ3678762

Mads Peter Sørensen, Peter Leth Christiansen, Peter S. Lomdahl

Publication date: 1984

Published in: The Journal of the Acoustical Society of America (Search for Journal in Brave)

Full work available at URL: https://orbit.dtu.dk/en/publications/c34862b3-1bcd-41b2-8097-ebaaf0de8d96

zbMATH Keywords

cubic nonlinearitytransverse motionnearly integrablenumericallyAcoustic wavesSolitary wave solutionsbalance between dispersion and nonlinearityelastic rods with circular cross sectionimproved Boussinesq equationsinteraction between the solitary wavessubsonic quasibreatherthree conservation theorems

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Wave scattering in solid mechanics (74J20) Wave equation (35L05) Hyperbolic conservation laws (35L65) Partial differential equations of mathematical physics and other areas of application (35Q99) Waves in solid mechanics (74J99)

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