Antisymmetric dark solitary SH waves in a nonlinear heterogeneous plate

  • Dilek DemirkuşEmail author


In the present work, we investigate the propagation of the nonlinear shear horizontal (SH) waves in a plate, which is composed of isotropic, hyperelastic, heterogeneous, and generalized neo-Hookean materials. Using the method of multiple scales, we strike a balance between the nonlinearity and the dispersion, and by then, we see that the nonlinear modulation of these waves can express in terms of a nonlinear Schrödinger equation. We know that this equation has been derived from many areas of physics and has some solitary wave solutions. Therefore, we claim that the antisymmetric dark solitary SH waves exist and propagate in this plate, in addition to considering both the heterogeneous effect and the nonlinear effect on the deformation field for these waves.


Nonlinear SH waves Heterogeneous plate Dark solitary SH waves 

Mathematics Subject Classification

00A69 35G30 35B20 35Q55 74B20 65Z99 74E05 74L05 74J35 74J30 



We thank Editor Prof. David Steigmann and the referees for their useful suggestions.


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Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Science and LettersBeykent UniversityBuyukcekmece, IstanbulTurkey

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