Comparison exact and numerical simulation of the traveling wave solution in nonlinear dynamics
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
WORLD SCIENTIFIC PUBL CO PTE LTD
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The traveling wave solutions of the combined Korteweg de Vries-modified Korteweg de Vries (cKdV-mKdV) equation and a complexly coupled KdV (CcKdV) equation are obtained by using the auto-Backlund Transformation Method (aBTM). To numerically approximate the exact solutions, the Finite Difference Method (FDM) is used. In addition, these exact traveling wave solutions and numerical solutions are compared by illustrating the tables and figures. Via the Fourier-von Neumann stability analysis, the stability of the FDM with the cKdV-mKdV equation is analyzed. The L-2 and L-infinity norm errors are given for the numerical solutions. The 2D and 3D figures of the obtained solutions to these equations are plotted.
Açıklama
Anahtar Kelimeler
Auto-Backlund transformation method, combined Korteweg de Vries-modified Korteweg de Vries equation, complexly coupled KdV equation, Finite difference method, solitary wave solution
Kaynak
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
34
Sayı
29
