The modified reductive perturbation method as applied to the Boussinesq equation
Yükleniyor...
Dosyalar
Tarih
2007-08
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Verlag Z Naturforsch
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this work, we extended the application of "the modified reductive perturbation method" to long water waves and obtained the governing equations of Korteweg-de Vries (KdV) hierarchy. Seeking localized travelling wave solutions to these evolution equations we have determined the scale parameter g, so as to remove the possible secularities that might occur. To indicate the effectiveness and the elegance of the present method, we studied the problem of the "dressed solitary wave method" and obtained exactly the same result. The present method seems to be fairly simple and practical as compared to the renormalization method and the multiple scale expansion method existing in the current literature.
Açıklama
Anahtar Kelimeler
Modified reductive perturbation method, Korteweg-de Vries hierarchy, Solitary waves, De vries hierarchy, Higher-order terms
Kaynak
Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
62
Sayı
7-8
Künye
Demiray, H. (2007). The modified reductive perturbation method as applied to the boussinesq equation. Zeitschrift Fur Naturforschung - Section A Journal of Physical Sciences, 62(7-8), 347-352. doi:10.1515/zna-2007-7-801
