Coupled quintic nonlinear Schrodinger equations in a generalized elastic solid
Yükleniyor...
Dosyalar
Tarih
2004-10-08
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
IOP Publishing Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present study, the nonlinear modulation of transverse waves propagating in a cubically nonlinear dispersive elastic medium is studied using a multiscale expansion of wave solutions. It is found that the propagation of quasimonochromatic transverse waves is described by a pair of coupled nonlinear Schrodinger (CNLS) equations. In the process of deriving the amplitude equations, it is observed that for a specific choice of material constants and wavenumber, the coefficient of nonlinear terms becomes zero, and the CNLS equations are no longer valid for describing the behaviour of transverse waves. In order to balance the nonlinear effects with the dispersive effects, by intensifying the nonlinearity, a new perturbation expansion is used near the critical wavenumber. It is found that the long time behaviour of the transverse waves about the critical wavenumber is given by a pair of coupled quintic nonlinear Schrodinger (CQNLS) equations. In the absence of one of the transverse waves, the CQNLS equations reduce to the single quintic nonlinear Schrodinger (QNLS) equation which has already been obtained in the context of water waves. By using a modified form of the so-called tanh method, some travelling wave solutions of the CQNLS equations are presented.
Açıklama
Anahtar Kelimeler
Solitary wave solutions, Marginal state, Transverse-waves, Modulation, Instability, Evolution, Solitons, Fibers, Media, Korteweg-de Vries equation, Water waves
Kaynak
Journal of Physics A: Mathematical and General
WoS Q Değeri
Q2
Scopus Q Değeri
N/A
Cilt
37
Sayı
40
Künye
Hacinliyan, I., & Erbay, S. (2004). Coupled quintic nonlinear schrödinger equations in a generalized elastic solid. Journal of Physics A: Mathematical and General, 37(40), 9387-9401. doi:10.1088/0305-4470/37/40/005
