An application of modified reductive perturbation method to long water waves
Yükleniyor...
Tarih
2011-12
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, we extended the application of "the modified reductive perturbation method" to long water waves and obtained the governing equations as the KdV hierarchy. Seeking a localized travelling wave solutions to these evolution equations we determined the scale parameter c(1) so as to remove the possible secularities that might occur. The present method is seen to be fairly simple as compared to the renormalization method [Kodama, Y., & Taniuti, T. (1977). Higher order approximation in reductive perturbation method 1. Weakly dispersive system. Journal of Physics Society of Japan, 45, 298-310] and the multiple scale expansion method [Kraenkel, R. A., Manna, M. A., & Pereira, J. G. (1995). The Korteweg-deVries hierarchy and long water waves. Journal of Mathematics Physics, 36, 307-320].
Açıklama
Anahtar Kelimeler
Modified reductive perturbation method, Water waves, Korteweg-de Vries hierarchy, Higher-order terms, Solitary waves, Korteweg-de Vries equation, Solitons, Dispersive systems, Evolution equations, Governing equations, Higher-order approximation, KdV hierarchy, Korteweg-de Vries, Long water waves, Multiple-scale expansion, Reductive perturbation methods, Renormalization methods, Scale parameter, Travelling wave solution, Hydrodynamics, Waves, Perturbation techniques
Kaynak
International Journal of Engineering Science
WoS Q DeÄŸeri
Q1
Scopus Q DeÄŸeri
Q1
Cilt
49
Sayı
12
Künye
Demiray, H. (2011). An application of modified reductive perturbation method to long water waves. International Journal of Engineering Science, 49(12), 1397-1403. doi:10.1016/j.ijengsci.2011.04.002
