A higher-order model for transverse waves in a generalized elastic solid

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Küçük Resim

Tarih

2002-11

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Pergamon-Elsevier Science

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

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
Q1

Scopus Q Değeri

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