BE?YNCY MERTEBEDEN KdV DENKLEMY VE KAUP-KUPERSHMIDT DENKLEMYNYN HAREKET EDEN DALGA ÇÖZÜMLERY YÇYN (G'/G)- AÇILIM METODU

Yıl 2010, Cilt: 5 Sayı: 1, 1 - 6, 01.02.2010

İbrahim Enam İnan

Öz

Bu çaly?mada be?inci mertebeden KdV denklemi ve Kaup-Kupershmidt denkleminin hareket eden dalga çözümleri için - açylym metodu sunaca?yz. Bu tekni?i kullanarak be?inci mertebeden KdV denklemi ve Kaup-Kupershmidt denkleminin birkaç tane hareket eden dalga çözümlerini bulaca?yz.

Anahtar Kelimeler

Be?inci mertebeden KdV denklemi, Kaup-Kupershmidt denklemi, (G'/G)- Açylym metodu, Hareket eden dalga çözümleri, Lineer olmayan kysmi diferensiyel denklemler,

(G'/G) — EXPANSYON METHOD FOR THE TRAVELLYNG WAVE SOLUTYONS OF FIFTH ORDER KDV EQUATION AND KAUP-KUPERSHMIDT EQUATION

Öz

In this paper, we implemented the - expansion method the traveling wave solutions of the fifth order KdV equation and Kaup-Kupershmidt equation. By using this scheme, we found some traveling wave solutions of the above-mentioned equations.

Anahtar Kelimeler

Fifth order KdV equation, Kaup-Kupershmidt equation, (G'/G)- expansion method, Traveling wave solutions, Nonlinear partial differential equations,