(4+1)-boyutlu Fokas denkleminin etkili bir integrasyon tekniği ile tek dalga çözümleri

Öz

Bu çalışmada yüksek boyutlu problemler içerisinde kendine özgü bir öneme sahip olan integrrallenebilir nonlineer (4+1)-boyutlu Fokas denkleminin soliton çözümleri son zamanlarda literature kazandırılmış olan new Kudryashov metodu ile incelenmektedir. Yapılan inceleme çerçevesinde (4+1)-boyutlu Fokas denkleminin temel soliton çözümlerinin elde edilmesine ek olarak, yöntemin yüksek boyutlu problemler için de etkin olarak kolaylıkla kullanılabileceği, aynı zamanda güvenilir olduğu da gösterilmektedir. Çalışmada elde edilen soliton çözümlerine ait grafiklerin 3D, 2D ve contour sunumları yapılarak ayrıca gerekli açıklamalar yapılmıştır.

Anahtar Kelimeler

• (4+1)-Fokas denklemi
• Yeni Kudryashov yöntemi
• Parlak soliton
• Soliton çözümü

Solitary wave solutions of the (4+1)-dimensional Fokas equation via an efficient integration technique

Abstract

In this study, the soliton solutions of the integrable nonlinear (4+1)-dimensional Fokas equation, which has a unique importance in high-dimensional problems, are examined by the new Kudryashov method, which has recently been introduced into literature. In addition to obtaining the basic soliton solutions of the (4+1)-dimensional Fokas equation, it is showed that the method can be easily used effectively for high-dimensional problems and is also reliable. 3D, 2D and contour presentations of the graphs of the soliton solutions obtained in the study were made and the necessary explanations were also made.

Keywords

• (4+1)-Fokas equation
• The new Kudryashov Method
• Bright soliton
• Soliton solution

Kaynakça

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