A travelling wave solution to the KdV-Burgers equation

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Tarih

2004-07-15

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Yayıncı

Elsevier Inc

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

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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

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