ÖMER ÜNSAL

Application of Extended Transformed Rational Function Method to Some (3+1) Dimensional Nonlinear Evolution Equations

The transformed rational function method can be considered as unification of the tanh type methods, the homogeneous balance method, the mapping method, the exp-function method and the F-expansion type methods. In this paper, we present complexiton solutions of (3+1) dimensional Korteweg-de Vries (KdV) equation and a new (3+1) dimensional generalized Kadomtsev-Petviashvili equation by using extended transformed rational function method which provides very useful and effective way to obtain complexiton solutions of nonlinear evolution equations.

Genişletilmiş Dönüştürülmüş Rasyonel Fonksiyon Metodunun Bazı (3+1) Boyutlu Lineer Olmayan Oluşum Denklemlerine Uygulanması

Dönüştürülmüş rasyonel fonksiyon metodu; tanh tipi metodlar, homojen denge metodu, resmetme metodu, üstel fonksiyon metodu ve F-açılım tipi metodların birleşimi olarak düşünülebilir. Biz bu çalışmada, lineer olmayan oluşum denklemlerinin kompleksiton çözümlerinin elde edilmesinde kullanışlı ve etkili bir yol olan genişletilmiş dönüştürülmüş rasyonel fonksiyon metodunu kullanarak (3+1) boyutlu KdV ve yeni (3+1) boyutlu genelleştirilmiş Kadomtsev-Petviashvili denklemlerinin kompleksiton çözümlerini elde edeceğiz.

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