Weakly nonlinear waves in water of variable depth: Variable-coefficient Korteweg-de Vries equation
Yükleniyor...
Dosyalar
Tarih
2010-09
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, utilizing the two-dimensional equations of an incompressible inviscid fluid and the reductive perturbation method, we studied the propagation of weakly non-linear waves in water of variable depth. For the case of slowly varying depth, the evolution equation is obtained as a variable-coefficient Korteweg-de Vries (KdV) equation. A progressive wave type of solution, which satisfies the evolution equation in the integral sense but not point by point, is presented. The resulting solution is numerically evaluated for two selected bottom profile functions, and it is observed that the wave amplitude increases but the band width of the solitary wave decreases with increasing undulation of the bottom profile.
Açıklama
This work was partially supported by the Turkish Academy of Sciences (TUBA)
Anahtar Kelimeler
Solitary waves, Channel of variable depth, Solitary wave, Shelf, Beach, Evolution equations, Incompressible inviscid fluids, Korteweg-de Vries equations, Nonlinear waves, Profile functions, Progressive waves, Reductive perturbation methods, Two-dimensional equations, Variable depth, Wave amplitudes, Perturbation techniques, Solitons, Water waves, Korteweg-de Vries equation
Kaynak
Computers and Mathematics with Applications
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
60
Sayı
6
Künye
Demiray, H. (2010). Weakly nonlinear waves in water of variable depth: Variable-coefficient Korteweg–de vries equation. Computers and Mathematics with Applications, 60(6), 1747-1755. doi:10.1016/j.camwa.2010.07.005
