论文标题
通过磁性电弹性杆的纵向波的Boussinesq型方程的精确溶液和对称分析
Exact Solutions and Symmetry Analysis of a Boussinesq type Equation for Longitudinal Waves through a Magneto-Electro-Elastic Circular Rod
论文作者
论文摘要
在这项工作中，通过分析研究了通过磁电弹性圆棒纵向波方程。进行PANLEVé测试以检查方程的可集成性。通过均质平衡法和Tanh方法可以找到精确的孤立波解决方案，并使用合适的物理参数值绘制。获得了与早期相关工作的类似解决方案[17，20]。但是，我们也获得了新的解决方案。已经进行了谎言对称分析，并提出了方程的相似性降低。与不同材料的相位速度等相关的数值结果已得出并进行了比较。
In this work the longitudinal wave equation through magneto-electro-elastic circular rod is studied analytically. Painlevé test is performed to check integrability of the equation. Exact solitary wave solutions are found by homogeneous balance method and Tanh method and are plotted using suitable values of physical parameters. A similar solution to an earlier related work [17, 20] is obtained. However we have obtained a new solution as well. Lie symmetry analysis has been done and similarity reduction of the equation is presented. Numerical results related to phase velocity etc for different materials has been derived and compared.
