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Dergiler / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2017 / Cilt: 7 - Sayı: 3

Special issue of the 2nd International Conference on Computational Mathematicsand Engineering Sciences (CMES2017)

Yusuf c PANDIR
Yusuf GUREFE
Tolga AKTURK
Sayfa
45–48
Yayın Tarihi
2023-12-17
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also, this solution can be converted into Jacobi ellipticfunctions solution by a simple transformation .

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper applies a new approach including the trial equationbased on the exponential function in order to find new traveling wave solutionsto Zhiber-Shabat equation.
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Temel Bulgular & Veri:By the using of this method, we obtain a new ellipticintegral function solution.
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Sonuç & Katkı:Also, this solution can be converted into Jacobi ellipticfunctions solution by a simple transformation .
🔬Tür:Makale
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

This paper applies a new approach including the trial equationbased on the exponential function in order to find new traveling wave solutionsto Zhiber-Shabat equation. By the using of this method, we obtain a new ellipticintegral function solution. Also, this solution can be converted into Jacobi ellipticfunctions solution by a simple transformation .

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Bu Makaleye Atıf Yap

PANDIR, Y. C., GUREFE, Y., AKTURK, T. (2023). Special issue of the 2nd International Conference on Computational Mathematicsand Engineering Sciences (CMES2017). An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 7 - Sayı: 3, 45–48. https://ajindex.com/articles/1022991

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Kaynakça (2)

  1. Liu, C. S. (2005). Trial equation method and its applications to nonlinear evolution equations, Acta. Phys. Sin. 54, 2505-2509
  2. Pandir, Y., Gurefe, Y., Kadak, U., & Misirli, E., (2012).Classification of exact solutions for some nonlinear partial differential equations with generalized evolution, Abstr. Appl. Anal. 2012, pp. 16 [3] Shen, G., Sun, Y., & Xiong, Y., (2013). New travelling-wave solutions for Dodd-Bullough equation, J. Appl. Math. 2013, pp. 5 [4] Sun, Y., (2014).New travelling wave solutions for Sine-Gordon equation, J. Appl. Math. 2014, pp. 4 [5] Bulut, H., Akturk, T., & Gurefe, Y., (2014).Travelling wave solutions of the (N+1)- dimensional sine-cosine-Gordon equation, AIP Conf. Proc. pp. 5 [6] Kudryashov, N. A., (2012).One method for finding exact solutions of nonlinear differential equations, Commun. Nonl. Sci. Numer. Simul. 17, 2248-2253 [7] Tang, Y., Xu, W., Shen, J., & Gao, L., (2007).Bifurcations of traveling wave solutions for Zhiber–Shabat equation, Nonlinear Analy. 67, 648- 656 [8] Chen, Huang, W., & Li, J., (2009).Qualitative behavior and exact travelling wave solutions of the Zhiber_Shabat equation, J. Comp. and Appl. Mat. 230, 559-569