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Dergiler / Celal Bayar Üniversitesi Fen Bilimleri Dergisi / 2026 / Cilt: 16 Sayı: 2

Auto-B𝐚̈cklund Transformation for Travelling Wave Solutions of Some Nonlinear Partial Differential Equations

İbrahim Enam İnan0000-0003-3681-0497
Ünal İç0000-0003-4367-7559
Sayfa
229–236
Yayın Tarihi
2020-06-24
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The Auto- B cklund transformation used in this article is a powerful method for finding traveling wave solutions of nonlinear partial differential equations.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we implemented Auto-B cklund transformation for finding the travelling wave solutions of the complexly coupled KdV equations and the sixth order equation of the Burgers hierarchy.
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Temel Bulgular & Veri:These solutions are hyperbolic function solutions and exponential function solutions.
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Sonuç & Katkı:The Auto- B cklund transformation used in this article is a powerful method for finding traveling wave solutions of nonlinear partial differential equations.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Auto-Ba ̈cklund transformation · Complexly coupled KdV equations · Auto-Ba ̈cklund transformation

Abstract

In this paper, we implemented Auto-B cklund transformation for finding the travelling wave solutions of the complexly coupled KdV equations and the sixth order equation of the Burgers hierarchy. These solutions are hyperbolic function solutions and exponential function solutions. The Auto- B cklund transformation used in this article is a powerful method for finding traveling wave solutions of nonlinear partial differential equations.

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Bu Makaleye Atıf Yap

İnan, İ. E., İç, Ü. (2020). Auto-B𝐚̈cklund Transformation for Travelling Wave Solutions of Some Nonlinear Partial Differential Equations. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Cilt: 16 Sayı: 2, 229–236. https://doi.org/10.18466/cbayarfbe.614476

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