LİNEER OLMAYAN OLUŞUM DENKLEMLERİNİN ÜSTEL RASYONEL FONKSİYON METODUYLA ÇÖZÜMÜ

Öz

Bu çalışmada uygulamalı matematik ve matematiksel fizikte önemli yeri olan equal width wave (EW) ve regularized long wave (RLW) denklemlerinin tam çözümlerini bulmak için üstel rasyonel fonksiyon metodu kullanılmıştır. Elde edilen çözümler, bu metodun uygulanması kolay ve etkili sonuçlar verdiğini gösterir. Ayrıca parametrelere özel değerler verildiğinde tam çözümlerden soliter dalga çözümleri elde edilebilir. Makaledeki hesaplamalar maple paket program yardımıyla yapılmıştır.

Anahtar Kelimeler

• Tam çözümler,üstel rasyonel fonksiyon metodu,equal width wave (EW) denklemi,regularized long wave (RLW) denklemi

Öz

In the study, exponential rational function method is used to construct exact solutions of the equal width wave (EW) and regularized long wave (RLW) equations in applied mathematics and mathematical physics. The exact solutions obtained by the proposed method indicate that the approach is easy to implement and computationally very challenging. Also we can see that when the parameters are assigned special values, solitary wave solutions can be obtained from the exact solutions. All calculations in this paper have been made with the aid of the Maple packet program.

Anahtar Kelimeler

• Exact solutions,exponential rational function method,equal width wave (EW) equation,regularized long wave (RLW) equation

Kaynakça

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