Auto-Bäcklund Transformation for Fifth Order Equation of the Burgers Hierarchy

Yıl 2019, Cilt: 19 Sayı: 2, 328 - 334, 17.09.2019

İbrahim Enam İnan

Öz

In
this paper, we implemented  Auto-Bäcklund transformation for fifth
order equation of the Burgers hierarchy. Auto-Bäcklund transformation was
developed as a direct and simple method to obtain solutions of nonlinear
partial differential equations by Fan.

Anahtar Kelimeler

Fifth order equation of the Burgers hierarchy, Auto-Bäcklund transformation, Solitary wave solution

Beşinci Mertebeden Burgers Hierarchy Denklemi için Auto-Bäcklund Dönüşümü

Öz

Bu
makalede beşinci mertebeden Burgers hierarchy denklemi için Auto-Bäcklund
dönüşümü sunulmuştur. Auto-Bäcklund dönüşümü lineer olmayan kısmi diferansiyel
denklemlerin çözümlerini elde etmek için doğrudan ve basit bir yöntem olarak
Fan tarafından geliştirilmiştir.

Anahtar Kelimeler

Beşinci mertebeden Burgers hierarchy denklemi, Auto-Bäcklund dönüşümü, Solitary dalga çözümü, Llineer olmayan kısmi diferansiyel denklemler

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