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  • Journal of Advanced Mathematics and Education
  • Volume:7 Issue:1.addition 2
  • The Comparison Between Effects of Regular and Irregular Nonlinear Elastic Layers Overlying a Rigid S...

The Comparison Between Effects of Regular and Irregular Nonlinear Elastic Layers Overlying a Rigid Substratum on Bright Solitary-Like SH Waves

Authors : Ekin Deliktaşözdemir
Pages : 17-24
View : 40 | Download : 79
Publication Date : 2024-02-29
Article Type : Research Paper
Abstract :The influences of planar and corrugated free surfaces on bright solitary-like shear horizontal (SH) waves propagating on a nonlinear elastic layer over a rigid substratum are compared. The amplitude of irregularity of the free surface is co nsidered as small compared to the average thickness of the layer. The layers consist of compressible, homogeneous and isotropic materials. A generalized nonlinear Schrödinger (GNLS) equation for the nonlinear modulation of SH waves is obtained via an asymptotic perturbation method. A comparative study between the influences of regular and irregular layers on the bright solitary-like SH waves is presented graphically.
Keywords : Corrugated free surface, irregular layer, Generalized nonlinear Schrödinger GNLS equation, Bright solitary like SH waves

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