A travelling wave solution to the KdV-Burgers equation
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Dosyalar
Tarih
2004-07-15
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, by introducing a new potential function and by using the hyperbolic tangent method and an exponential rational function approach, a travelling wave solution to the KdV-Burgers (KdVB) equation is presented. It is observed that both methods lead to the same type of solution. The solution method we introduced here is less restrictive and comprises some solutions existing in the current literature [Wave Motion 11 (1989) 559; Wave Motion 14 (1991) 559].
Açıklama
This work was supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Korteweg-de Vries-Burgers equation, Travelling waves, Computational complexity, Energy dissipation, Functions, Korteweg-de Vries equation, Problem solving, Set theory, Solitons, Viscoelasticity, Wave equations, Water waves
Kaynak
Applied Mathematics and Computation
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
154
Sayı
3
1873-5649
1873-5649
Künye
Demiray, H. (2004). A travelling wave solution to the KdV–Burgers equation. Applied Mathematics and Computation, 154(3), 665-670. doi:10.1016/S0096-3003(03)00741-0