层状弹性波导中的非线性纵向体应变波
Nonlinear Longitudinal Bulk Strain Waves in Layered Elastic Wavegudes
摘要：
本文利用Boussinesq型方程研究了层状波导中的长纵向体应变波。方程是使用晶格模型开发的，这被视为费米-帕斯塔-乌拉姆问题的扩展。我们描述了半解析方法来解决分层波导中的散射问题，并在周期函数类的初始值问题的解决方案的建设，由散射问题的动机。
英文摘要：
We consider long longitudinal bulk strain waves in layered waveguides using Boussinesq-type equations. The equations are developed using lattice models, and this is viewed as an extension of the Fermi-Pasta-Ulam problem. We describe semi-analytical approaches to the solution of scattering problems in delaminated waveguides, and to the construction of the solution of an initial-value problem in the class of periodic functions, motivated by the scattering problems.
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