A note on the wave propagation in water of variable depth
Yükleniyor...
Dosyalar
Tarih
2011-11-01
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
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 nonlinear waves in water of variable depth. For the case of slowly varying depth, the evolution equation is obtained as the variable coefficient Korteweg-de Vries (KdV) equation. Due to the difficulties for the analytical solutions, a numerical technics so called "the method of integrating factor" is used and the evolution equation is solved under a given initial condition and the bottom topography. It is observed the parameters of bottom topography causes to the changes in wave amplitude, wave profile and the wave speed.
Açıklama
Anahtar Kelimeler
Solitary waves, Water of variable depth, Variable coefficient KdV equation, Shallow-water, Analytical solutions, Bottom topography, Evolution equations, Incompressible inviscid fluids, Initial conditions, Integrating factor, Korteweg-de Vries equations, Nonlinear waves, Reductive perturbation methods, Two-dimensional equations, Variable coefficients, Variable depth, Wave amplitudes, Wave profiles, Wave speed, Numerical methods, Perturbation techniques, Solitons, Wave propagation, Nonlinear equations, Water waves, Korteweg-de Vries equation
Kaynak
Applied Mathematics and Computation
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
218
Sayı
5
Künye
Demiray, H. (2011). A note on the wave propagation in water of variable depth. Applied Mathematics and Computation, 218(5), 2294-2299. doi:10.1016/j.amc.2011.07.049
