Dergiler / Physical Sciences / 2010 / Cilt: 5 Sayı: 1

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

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

İbrahim Enam İNAN

Sayfa
1–6
DOI
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Özet

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.

Abstract

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