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Analytical solution of the (2+1)-dimensional Zoomeron equation by rational sine-Gordon Method Skip to content Yıl 2024, Cilt: 26 Sayı: 2, 507 – 517, 15.07.2024
Beyhan Kemaloğlu Gülnur Yel Hasan Bulut
https://doi.org/10.25092/baunfbed.1395997
Öz Mevcut çalışma matematiğin fiziğin önemli modellerinden biri olan Zoomeron denkleminin çözümü ile ilgilidir. Bu çalışmada denklemin çözümü için rasyonel Sine-Gordon açılım metodu kullanılıp analitik çözümler elde edildi. Diğer metotlara göre bu metot oldukça etkili olup istenilen sonuçlar elde edildi. Bununla birlikte Matematika programı ile çözümlerin iki ve üç boyutlu uzayda geometrik yorumu yapılmıştır.
Anahtar Kelimeler Rasyonel Sine-Gordon açılım metodu, Zoomeron denklemi, Analitik metot
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Analytical solution of the (2+1)-dimensional Zoomeron equation by rational sine-Gordon Method Yıl 2024, Cilt: 26 Sayı: 2, 507 – 517, 15.07.2024
Beyhan Kemaloğlu Gülnur Yel Hasan Bulut
https://doi.org/10.25092/baunfbed.1395997
Öz The current study is about the solution of the Zoomeron equation, one of the important models of mathematics and physics. In this study, the rational Sine-Gordon expansion method (RSGEM) is used to obtain various analytical solutions of the model. Compared to other methods, this method is quite effective and the desired results were obtained. Although there are many analytical solutions to the model used in the literature, we present rational type solutions for the first time with this method. We obtained rational hyperbolic function solutions, and also classified all soliton solutions (kink-like, kink, singular kink, anti-kink, dark, bright). In addition, geometric representations of the solutions in two-, and three-dimensional space and contour shape are made with the Mathematica software program.
Anahtar Kelimeler RSGEM, Zoomeron Equation, Analytical Method
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Quant. Electron. 49(285), 1–10 (2017) Yel, G., Baskonus, H.M., Bulut, H.: Regarding some novel exponential travelling wave solutions to the Wu– Zhang system arising in nonlinear water wave model. Indian J. Phys. 93(8), 1031–1039 (2019) Yel, G., New wave patterns to the doubly dispersive equation in nonlinear dynamic elasticity, Pramana – J. Phys. 94(1):79 (2020) Zhao, Z., Han, B.: Lump solutions of a (3+1)-dimensional B-type KP equation and its dimensionally reduced equations. Anal. Math. Phys. 9(1), 119–130 (2019) Toplam 36 adet kaynakça vardır.
Ayrıntılar Birincil Dil İngilizce Konular Sayısal Analiz Bölüm Araştırma Makalesi Yazarlar Beyhan Kemaloğlu FIRAT UNIVERSITY 0000-0002-9671-0562 Türkiye
Gülnur Yel FINAL INTERNATIONAL UNIVERSITY 0000-0002-5134-4431 Türkiye
Hasan Bulut FIRAT ÜNİVERSİTESİ 0000-0002-6089-1517 Türkiye
Erken Görünüm Tarihi 14 Temmuz 2024 Yayımlanma Tarihi 15 Temmuz 2024 Gönderilme Tarihi 25 Kasım 2023 Kabul Tarihi 6 Haziran 2024 Yayımlandığı Sayı Yıl 2024 Cilt: 26 Sayı: 2
Kaynak Göster APA Kemaloğlu, B., Yel, G., & Bulut, H. (2024). Analytical solution of the (2+1)-dimensional Zoomeron equation by rational sine-Gordon Method. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 26(2), 507-517. https://doi.org/10.25092/baunfbed.1395997 AMA Kemaloğlu B, Yel G, Bulut H. Analytical solution of the (2+1)-dimensional Zoomeron equation by rational sine-Gordon Method. BAUN Fen. Bil. Enst. Dergisi. Temmuz 2024;26(2):507-517. doi:10.25092/baunfbed.1395997 Chicago Kemaloğlu, Beyhan, Gülnur Yel, ve Hasan Bulut. “Analytical Solution of the (2+1)-Dimensional Zoomeron Equation by Rational Sine-Gordon Method”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 26, sy. 2 (Temmuz 2024): 507-17. https://doi.org/10.25092/baunfbed.1395997. EndNote Kemaloğlu B, Yel G, Bulut H (01 Temmuz 2024) Analytical solution of the (2+1)-dimensional Zoomeron equation by rational sine-Gordon Method. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 26 2 507–517. IEEE B. Kemaloğlu, G. Yel, ve H. Bulut, “Analytical solution of the (2+1)-dimensional Zoomeron equation by rational sine-Gordon Method”, BAUN Fen. Bil. Enst. Dergisi , c. 26, sy. 2, ss. 507–517, 2024, doi: 10.25092/baunfbed.1395997. ISNAD Kemaloğlu, Beyhan vd. “Analytical Solution of the (2+1)-Dimensional Zoomeron Equation by Rational Sine-Gordon Method”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 26/2 (Temmuz 2024), 507-517. https://doi.org/10.25092/baunfbed.1395997. JAMA Kemaloğlu B, Yel G, Bulut H. Analytical solution of the (2+1)-dimensional Zoomeron equation by rational sine-Gordon Method. BAUN Fen. Bil. Enst. Dergisi . 2024;26:507–517. MLA Kemaloğlu, Beyhan vd. “Analytical Solution of the (2+1)-Dimensional Zoomeron Equation by Rational Sine-Gordon Method”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 26, sy. 2, 2024, ss. 507-1, doi:10.25092/baunfbed.1395997. Vancouver Kemaloğlu B, Yel G, Bulut H. Analytical solution of the (2+1)-dimensional Zoomeron equation by rational sine-Gordon Method. BAUN Fen. Bil. Enst. Dergisi. 2024;26(2):507-1.
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