Particle dynamics in the KdV approximation

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Küçük Resim

Tarih

2012-12

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Elsevier Science BV

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

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
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