A higher-order model for transverse waves in a generalized elastic solid
Yükleniyor...
Dosyalar
Tarih
2002-11
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present study, the nonlinear modulation of transverse waves propagating in a generalized elastic solid is studied using a multi-scale expansion of quasi-monochromatic wave solutions. In particular, to include the higher-order nonlinear and dispersive effects in the evolution equations, higher-order perturbation equations are considered, and it is shown that the modulation of two transverse waves is governed by a pair of the coupled higher-order nonlinear Schrodinger (HONLS) equations. In the absence of one of the transverse waves, the coupled HONLS equations reduce to the single HONLS equation that has already been obtained in the context of nonlinear optics. Some special solutions to the coupled HONLS equations are also presented.
Açıklama
Anahtar Kelimeler
Nonlinear schrodinger-equations, Media, Continuum mechanics, Modulation, Nonlinear equations, Perturbation techniques, Wave propagation, Transverse waves, Elastic waves
Kaynak
Chaos, Solitons and Fractals
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
14
Sayı
8
Künye
Hacinliyan, A. S., & Erbay, S. (2002). A higher-order model for transverse waves in a generalized elastic solid. Chaos, Solitons and Fractals, 14(8), 1127-1135. doi:10.1016/S0960-0779(02)00057-7
