Multiple time scale formalism and its application to long water waves
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Dosyalar
Tarih
2010-05
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, by employing the multiple time scaling method, we studied the non-linear waves in shallow-water problem and obtained a set of Korteweg-deVries equations governing the various order terms in the perturbation expansion. By seeking a travelling wave type of solutions for the evolution equations, we have obtained a set of wave speeds associated with each time parameter. It is shown that the speed corresponding to the lowest order time parameter given the wave speed of the conventional reductive perturbation method, whereas the wave speeds corresponding to the higher order time parameters give the speed correction terms. The result obtained here is exactly the same with that of Demiray [H. Demiray, Modified reductive perturbation method as applied to long water waves: Korteweg-deVries hierarchy, Int. J. Nonlinear Sci. 6 (2008) 11-20] who employed the modified reductive perturbation method.
Açıklama
Anahtar Kelimeler
Water waves, Multiple time scaling, Solitary waves, Reductive perturbation method, Ion-acoustic-waves, Evolution equations, Higher order, Long water waves, Multiple time scale, Nonlinear waves, Perturbation expansions, Shallow-water, Solitary wave, Time parameter, Time-scaling, Travelling waves, Wave speed, Differential equations, Hydrodynamics, Nonlinear equations, Speed, Wave equations, Waves, Perturbation techniques
Kaynak
Applied Mathematical Modelling
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
34
Sayı
5
Künye
Demiray, H. (2010). Multiple time scale formalism and its application to long water waves. Applied Mathematical Modelling, 34(5), 1187-1193. doi:10.1016/j.apm.2009.08.006
