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Zbl 0910.73036
Dai, H.-H.
Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod. (English)
[J] Acta Mech. 127, No.1-4, 193-207 (1998). ISSN 0001-5970; ISSN 1619-6937/e

The analysis of the title problem is based on a set of highly nonlinear coupled equations depending on the longitudinal coordinate and time. The main progress is made by the study of the following particular cases: the linearized case which provides the existence of travelling waves of arbitrary shape, the finite-amplitude long-wave case, the far-field solution, and the finite-amplitude finite-wavelength case.
[D.Stanomir (Bucureşti)]

MSC 2000:: *74H45 Vibrations
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74B20 Nonlinear elasticity

Keywords: linearized case; existence of travelling waves; finite-amplitude long-wave case; far-field solution; finite-amplitude finite-wavelength case

Cited in: Zbl 1181.35287 Zbl 1046.35094

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