An application of modified reductive perturbation method to symmetric regularized-long-wave
Yükleniyor...
Dosyalar
Tarih
2011-03-24
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Işık University Press
Erişim Hakkı
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivs 3.0 United States
Attribution-NonCommercial-NoDerivs 3.0 United States
Özet
In this work, we extended the application of "the modified reductive perturbation method" to symmetrical regularized long waves with quadratic nonlinearity and obtained various form of KdV equations as the governing equations. Seeking a localized travelling wave solutions to these evolution equations we determined the scale parameters g(1) and g(2) so as to remove the possible secularities that might occur. To indicate the power and elegance of the present method, we compared our result with the exact travelling wave solution of the symmetric regularized long-wave equation with quadratic nonlinearity. These results show that for weakly nonlinear case the solutions for both approaches coincide with each other. The present method is seen to be fairly simple as compared to the renormalization method of Kodama and Taniuti [4] and the multiple scale expansion method of Kraenkel et al [6].
Açıklama
Anahtar Kelimeler
Modified reductive perturbation method, Ion-acoustic waves, Korteweg-deVries hierarchy
Kaynak
TWMS Journal of Applied and Engineering Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
1
Sayı
1
Künye
Demiray, H. (2011). An application of modified reductive perturbation method to symmetric regularized-long-wave. TWMS Journal of Applied and Engineering Mathematics, 1(1), 49-57.
