HARMONIC RESONANCE PHENOMENA ON NONLINEAR SH WAVES

S. Ahmetolan*, N. Ozdemir, A. Peker-Dobie, A. Demirci

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Özet

The interaction of shear horizontal (SH) waves in a two layered elastic medium and its mth harmonic component is studied. The dispersion relation is analysed to obtain the wave number-phase velocity pairs where the third and fifth harmonic resonance phenomena emerge. By employing an asymptotic perturbation method it is shown that the balance between the weak nonlinearity and dispersion yields a coupled nonlinear Schrodinger (CNLS) equation for the slowly varying amplitudes of the fundamental wave and its fifth harmonic component. The nonlinearity efects of the materials and the ratio of layers' thicknesses on the linear instabilities of solutions and the existence of solitary waves are examined.

Orijinal dilİngilizce
Sayfa (başlangıç-bitiş)409-424
Sayfa sayısı16
DergiTurkish World Mathematical Society Journal of Applied and Engineering Mathematics
Hacim13
Basın numarası2
Yayın durumuYayınlandı - 2023

Bibliyografik not

Publisher Copyright:
© Isk University, Department of Mathematics, 2023; all rights reserved.

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