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Dergiler / Karaelmas Fen ve Mühendislik Dergisi / 2018 / Cilt: 8 - Sayı: 2

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

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

ÖMER ÜNSAL
Sayfa
433–437
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Özet

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.

Abstract

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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Bu Makaleye Atıf Yap

ÜNSAL, Ö. (2018). Application of Extended Transformed Rational Function Method to Some (3+1) Dimensional Nonlinear Evolution Equations. Karaelmas Fen ve Mühendislik Dergisi, Cilt: 8 - Sayı: 2, 433–437. https://ajindex.com/articles/214456

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Kaynakça (16)

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