A numerical study of the long wave-short wave interaction equations
Yükleniyor...
Dosyalar
Tarih
2007-03-07
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier B.V.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Two numerical methods are presented for the periodic initial-value problem of the long wave-short wave interaction equations describing the interaction between one long longitudinal wave and two short transverse waves propagating in a generalized elastic medium. The first one is the relaxation method, which is implicit with second-order accuracy in both space and time. The second one is the split-step Fourier method, which is of spectral-order accuracy in space. We consider the first-, second- and fourth-order versions of the split-step method, which are first-, second- and fourth-order accurate in time, respectively. The present split-step method profits from the existence of a simple analytical solution for the nonlinear subproblem. We numerically test both the relaxation method and the split-step schemes for a problem concerning the motion of a single solitary wave. We compare the accuracies of the split-step schemes with that of the relaxation method. Assessments of the efficiency of the schemes show that the fourth-order split-step Fourier scheme is the most efficient among the numerical schemes considered.
Açıklama
Anahtar Kelimeler
Relaxation method, Split-step method, Long wave-short wave interaction equations, Solitary waves, Nonlinear schrodinger-equation, Time, Electromagnetic waves, Fourier transforms, Initial value problems, Numerical analysis, Relaxation processes, Wave propagation, Flow interactions, Schrödinger equation, Semilinear wave
Kaynak
Mathematics and Computers in Simulation
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
74
Sayı
2
Künye
Borluk, H., Muslu, G. M. & Erbay, H. A. (2007). A numerical study of the long wave–short wave interaction equations. Mathematics and Computers in Simulation, 74(2), 113-125. doi:10.1016/j.matcom.2006.10.016
