Lineer Olmayan Kısmi Diferensiyel Denklemlerin exp(-φ(ζ))- Açılım Metodu ile Tam Çözümleri

Bu çalışmada Bogoyavlenskii denklemi ve modifiye edilmiş KdV-Zakharov-Kuznetsev denkleminin tam çözümleri exp(-?(?))-açılım metodu yardımıyla bulunmuştur. Bulunan çözümler birbirinden farklı fonksiyonlardır ve hiperbolik, trigonometrik ve rasyonel fonksiyonlar şeklinde ifade edilmiştir. Ele alınan yöntem matematiksel fizik ve mühendislikte kullanılan lineer olmayan denklemlerin çözümü için çözümlerinin bulunması için oldukça kullanışlıdır.

Exact Solutions of Nonlinear Partial Differential Equations with exp(-φ(ζ))- Expansion Method

The aim of this paper is obtaining the exact solutions of the Bogoyavlenskii equation and the modified KdV-Zakharov-Kuznetsev equation with the help of the exp(-φ(ζ))-expansion method. Solutions are obtained with different forms of functions as hyperbolic, trigonometric and rational functions. Discussed method is useful for obtaining solutions of nonlinear equations in mathematical physics and engineering

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