Dergiler / Physical Sciences / 2009 / Cilt: 4 Sayı: 3

COMPLEX SOLUTIONS FOR FIFTH ORDER KdV EQUATION AND (3+1) DIMENSIONAL BURGERS EQUATION

BEŞİNCİ MERTEBEDEN Kdv DENKLEMİ VE (3+1) BOYUTLU BURGERS DENKLEMİ İÇİN KOMPLEKS ÇÖZÜMLER

Hasan BULUT, İbrahim Enam İNAN

Sayfa
60–65
DOI
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Özet

In this paper, we implemented a direct algebraic method for the complex solutions of the fifth order Korteweg-de Vries (KdV) equation and (3+1) dimensional Burgers equation. By using this scheme, we found several complex solutions of the three fifth order KdV equations and (3+1) dimensional Burgers equation.

Abstract

Bu çalışmada beşinci mertebeden KdV denklemi ve (3+1) boyutlu Burgers denkleminin kompleks çözümleri için Doğrudan Cebirsel Metodu sunacağız. Bu tekniği kullanarak beşinci mertebeden KdV denklemi ve (3+1) boyutlu Burgers denkleminin birkaç tane kompleks çözümünü bulacağız.

Anahtar kelimeler: Fifth Order Kdv Equation, (3+1) Dimensional Burgers Equation, Direct Algebraic Method, Complex Solutions, Traveling Wave Solutions,