Nonlinear traveling waves in a compressible Mooney-Rivlin rod I. Long finite-amplitude waves

被引:7
作者
Dai Huihui
Liu Zengrong
机构
[1] City University of Hong Kong,Department of Mathematics
[2] Shanghai University,Department of Mathematics
关键词
hyperelastic rod; nonlinear traveling waves; solitary waves; periodic waves;
D O I
10.1007/BF02489382
中图分类号
学科分类号
摘要
In literature, nonlinear traveling waves in elastic circular rods have only been studied based on single partial differential equation (pde) models, and here we consider such a problem by using a more accurate coupled-pde model. We derive the Hamiltonian from the model equations for the long finite-amplitude wave approximation, analyze how the number of singular points of the system changes with the parameters, and study the features of these singular points qualitatively. Various physically acceptable nonlinear traveling waves are also discussed, and corresponding examples are given. In particular, we find that certain waves, which cannot be counted by the single-equation model, can arise.
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页码:435 / 446
页数:11
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