Abstract

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 fth 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 fth harmonic component. The nonlinearity e ects of the materials and the ratio of layers' thicknesses on the linear instabilities of solutions and the existence of solitary waves are examined.

Details

Title
HARMONIC RESONANCE PHENOMENA ON NONLINEAR SH WAVES
Author
Ahmetolan, S; Özdemir, N; Peker-Dobie, A; Demirci, A
First page
409
Publication year
2023
Publication date
2023
Publisher
Elman Hasanoglu
e-ISSN
21461147
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
3126885681
Copyright
© 2023. This work is licensed under http://creativecommons.org/licenses/by-nc/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.