A complex travelling wave solution to the KdV-Burgers equation
Yükleniyor...
Dosyalar
Tarih
2005-09-19
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science bv
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, making use of the hyperbolic tangent method a complex travelling wave solution to the KdV-Burgers equation is obtained. It is observed that the real part of the solution is the combination of a shock and a solitary wave whereas the imaginary part is the product of a shock with a solitary wave. By imposing some restrictions on the field variable at infinity, two complex waves, i.e., right going and left going waves with specific wave speed are obtained.
Açıklama
This work was supported by the Turkish Academy of Sciences
Anahtar Kelimeler
Solitons, Solitary waves, Auxiliary equation, Korteweg-de Vries equation, Wave transmission, Complex waves, Field variables, Hyperbolic-tangent method, Imaginary parts, KdV-Burgers equation, Real part, Travelling wave solution, Wave speed
Kaynak
Physics Letters, Section A: General, Atomic and Solid State Physics
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
344
Sayı
6
Künye
Demiray, H. (2005). A complex travelling wave solution to the KdV–Burgers equation. Physics Letters, Section A: General, Atomic and Solid State Physics, 344(6), 418-422. doi:10.1016/j.physleta.2004.09.087
