Particle dynamics in the KdV approximation
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Dosyalar
Tarih
2012-12
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science BV
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The KdV equation arises in the framework of the Boussinesq scaling as a model equation for waves at the surface of an inviscid fluid. Encoded in the KdV model are relations that may be used to reconstruct the velocity field in the fluid below a given surface wave. In this paper, velocity fields associated to exact solutions of the KdV equation are found, and particle trajectories are computed numerically. The solutions treated here comprise the solitary wave, periodic traveling waves, and the two-soliton solutions. For solitary waves and periodic traveling waves, approximate particle paths are found in closed form.
Açıklama
Anahtar Kelimeler
Surface waves, Boussinesq scaling, KdV equation, Particle trajectories, Solitary waves, Soliton interaction, Water-waves, Trajectories, Analyticity, Vorticity, Equations, Depth
Kaynak
Wave Motion
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
49
Sayı
8
Künye
Borluk, H. & Kalisch, H. (2012). Particle dynamics in the KdV approximation. Wave Motion, 49(8), 691-709. doi:10.1016/j.wavemoti.2012.04.007
