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Some comparisons between heterogeneous and homogeneous plates for nonlinear symmetric SH waves in terms of heterogeneous and nonlinear effects

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Abstract

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.

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Acknowledgements

We, sincerely, express our thanks to Dear Respected Editor Professor David J. Steigmann and the respected anonymous referee for valuable encouragement in science.

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  1. Department of Mathematics, Faculty of Arts and Sciences, Beykent University, Istanbul, 34520, Turkey

    Dilek Demirkuş

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Demirkuş, D. Some comparisons between heterogeneous and homogeneous plates for nonlinear symmetric SH waves in terms of heterogeneous and nonlinear effects. Z. Angew. Math. Phys. 72, 69 (2021). https://doi.org/10.1007/s00033-021-01492-z

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