Damping of periodic waves in physically significant wave systems

M. J. Ablowitz, S. A. Ablowitz, N. Antar

Araştırma sonucu: Dergiye katkıMakalebilirkişi

5 Atıf (Scopus)

Özet

Damping of periodic waves in the classically important nonlinear wave systems - nonlinear Schrödinger, Korteweg-deVries (KdV), and modified KdV - is considered here. For small damping, asymptotic analysis is used to find an explicit equation that governs the temporal evolution of the solution. These results are then confirmed by direct numerical simulations. The undamped periodic solutions are given in terms of Jacobi elliptic functions. The damping structure is found as a function of the elliptic function modulus, m = m(t). The damping rate of the maximum amplitude is ascertained and is found to vary smoothly from the linear solution when m = 0 to soliton waves when m = 1.

Orijinal dilİngilizce
Sayfa (başlangıç-bitiş)313-335
Sayfa sayısı23
DergiStudies in Applied Mathematics
Hacim121
Basın numarası3
DOI'lar
Yayın durumuYayınlandı - Eki 2008

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