Higher order perturbation expansion of waves in water of variable depth
Yükleniyor...
Dosyalar
Tarih
2010-01
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, we extended the application of "the modified reductive perturbation method" to long waves in water of variable depth and obtained a set of KdV equations as the governing equations. Seeking a localized travelling wave solution to these evolution equations we determine the scale function c(1)(tau) so as to remove the possible secularities that might occur. We showed that for waves in water of variable depth, the phase function is not linear anymore in the variables x and t. It is further shown that, due to the variable depth of the water, the speed of the propagation is also variable in the x coordinate
Açıklama
Anahtar Kelimeler
Modified reductive perturbation method, Waves in water of variable depth, Korteweg-de Vries hierarchy, Ion-acoustic-waves, Solitary waves, Terms, Korteweg-de Vries equation, Solitons, Water waves, Evolution equations, Governing equations, Higher-order perturbation, KdV equations, Korteweg-de Vries, Long waves, Phase functions, Reductive perturbation methods, Travelling wave solution, Variable depth, Differential equations, Wave equations, Perturbation techniques
Kaynak
Computers and Mathematics with Applications
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
59
Sayı
1
Künye
Demiray, H. (2010). Higher order perturbation expansion of waves in water of variable depth. Computers and Mathematics with Applications, 59(1), 298-304. doi:10.1016/j.camwa.2009.06.049
