Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod (Q1384761)
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scientific article; zbMATH DE number 1143237
| Language | Label | Description | Also known as |
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| English | Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod |
scientific article; zbMATH DE number 1143237 |
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Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod (English)
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20 April 1998
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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.
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linearized case
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existence of travelling waves
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finite-amplitude long-wave case
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far-field solution
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finite-amplitude finite-wavelength case
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