An approximate wave solution for perturbed KDV and dissipative NLS equations: weighted residual method
Yükleniyor...
Dosyalar
Tarih
2019-06-21
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Işık University Press
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In the present work, we modified the conventional "weighted residual method" to some nonlinear evolution equations and tried to obtain the approximate progressive wave solutions for these evolution equations. For the illustration of the method we studied the approximate progressive wave solutions for the perturbed KdV and the dissipative NLS equations. The results obtained here are in complete agreement with the solutions of inverse scattering method. The present solutions are even valid when the dissipative effects are considerably large. The results obtained are encouraging and the method can be used to study the cylindrical and spherical evolution equations.
Açıklama
Anahtar Kelimeler
Dissipative NLS equation, Perturbed KdV equation, Weighted residual method
Kaynak
TWMS Journal Of Applied And Engineering Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
9
Sayı
4
Künye
Demiray, H. (2019). An approximate wave solution for perturbed kdv and dissipative nls equations: Weighted residual method. TWMS Journal of Applied and Engineering Mathematics, 9(4), 786-791.
