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Some comparisons between heterogeneous and homogeneous plates for nonlinear symmetric SH waves in terms of heterogeneous and nonlinear effects
Zeitschrift für angewandte Mathematik und Physik ( IF 1.7 ) Pub Date : 2021-03-12 , DOI: 10.1007/s00033-021-01492-z
Dilek Demirkuş

In this article, the propagation of nonlinear shear horizontal waves for some comparisons between the heterogeneous and homogeneous plates is considered. It is assumed that one plate is made of up hyper-elastic, heterogeneous, isotropic, and generalized neo-Hookean materials, and the other consists of hyper-elastic, homogeneous, isotropic, and generalized neo-Hookean materials. Using the known solitary wave solutions, called bright and dark solitary wave solutions, to the nonlinear Schrödinger equation, these comparisons are made in terms of the heterogeneous and nonlinear effects. All numerical results, based on the asymptotic analyses in which the method of multiple scales is used, are graphically presented for the lowest dispersive symmetric branch of both dispersion relations.



中文翻译:

关于非线性对称SH波的非均质板和均质板的一些异质和非线性影响比较

在本文中,考虑了非均质板和均质板之间非线性比较的水平横波传播问题。假设一个板块由超弹性,非均质,各向同性和广义的新霍克材料组成,另一块板由超弹性,均质,各向同性和广义的新霍克材料组成。使用已知的孤立波解,称为明和暗孤立波解,对非线性Schrödinger方程进行比较,这些比较是根据异质和非线性效应进行的。基于渐近分析的所有数值结果(其中使用了多尺度方法)以图形方式给出了两个色散关系的最低色散对称分支。

更新日期:2021-03-12
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