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  • Fen Edebiyat Fakültesi / Faculty of Arts and Sciences
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Coupled quintic nonlinear Schrodinger equations in a generalized elastic solid

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Date

2004-10-08

Author

Hacınlıyan, Irma
Erbay, Saadet

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Citation

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

Abstract

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of material constants and wavenumber, the coefficient of nonlinear terms becomes zero, and the CNLS equations are no longer valid for describing the behaviour of transverse waves.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.

Source

Journal of Physics A: Mathematical and General

Volume

37

Issue

40

URI

https://hdl.handle.net/11729/149
http://dx.doi.org/10.1088/0305-4470/37/40/005

Collections

  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics [216]
  • Scopus İndeksli Makale Koleksiyonu [885]
  • WoS İndeksli Makale Koleksiyonu [893]



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