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Dergiler / Journal of Universal Mathematics / 2022 / Cilt: 5 - Sayı: 2

ANALYTICAL SOLUTIONS OF (1+1)- DIMENSIONAL DISTRIBUTED LONG WAVE (DLW) EQUATION WITH AUXILIARY EQUATION METHOD

Ahmet Mücahid GÖKTAŞ
Koray YILMAZ
Orkun TAŞBOZAN
Sayfa
88–94
Yayın Tarihi
2022-07-31
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Furthermore, with the aid of the mathematica program it is seen that the analytical solutions revealed with the auxiliary equation method satisfies the equation.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this article, the exact solutions of the (1+1)-dimensional (DLW) equation, a fractional partial differential equation in conformable sense, which is a nonlinear, are given.
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Temel Bulgular & Veri:In this article, the exact solutions of the (1+1)-dimensional (DLW) equation, a fractional partial differential equation in conformable sense, which is a nonlinear, are given.
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Sonuç & Katkı:Furthermore, with the aid of the mathematica program it is seen that the analytical solutions revealed with the auxiliary equation method satisfies the equation.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:(1 + 1)-Dimensional Distributed Long Wave Equation · Auxiliary Equation Method · Conformable Differential Equations

Abstract

In this article, the exact solutions of the (1+1)-dimensional (DLW) equation, a fractional partial differential equation in conformable sense, which is a nonlinear, are given. Furthermore, with the aid of the mathematica program it is seen that the analytical solutions revealed with the auxiliary equation method satisfies the equation.

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Bu Makaleye Atıf Yap

GÖKTAŞ, A. M., YILMAZ, K., TAŞBOZAN, O. (2022). ANALYTICAL SOLUTIONS OF (1+1)- DIMENSIONAL DISTRIBUTED LONG WAVE (DLW) EQUATION WITH AUXILIARY EQUATION METHOD. Journal of Universal Mathematics, Cilt: 5 - Sayı: 2, 88–94. https://ajindex.com/articles/782153

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Kaynakça (14)

  1. S. Abbasbandy, The application of homotopy analysis method to nonlinear equations arising in heat transfer, Physics Letters A, 360(1), pp. 109-113 (2006)
  2. M.A. Abdou, A generalized auxiliary equation method and its applications, Nonlinear Dynamics, 52(1), pp. 95-102 (2008)
  3. M.A. Abdou, Further improved F-expansion and new exact solutions for nonlinear evolution equations, Nonlinear Dynamics, 52(3), pp. 227-288 (2008)
  4. L.A. Alhakim and A.A. Moussa, The double auxiliary equations method and its application to space-time fractional nonlinear equations,Journal of Ocean Engineering and Science, 4, pp. 7-13 (2019)
  5. G. Cai, Q. Wang and J. Huang, A modified F-expansion method for solving breaking soliton equation, Int J Nonlinear Sci, 2(2), 122-128 (2006)
  6. Y. Chen and Z. Yan, The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations, Chaos Solitons Fractals, 29(4), 948964 (2006)
  7. Y. Gurefe, A. Sonmezoglu and E. Misirli, Application of trial equation method to the nonlinear partial differential equations arising in mathematical physics, Pramana J Phys, 77(6), 1023-1029 (2011)
  8. Y. Gurefe, E. Misirli, A. Sonmezoglu and M. Ekici, Extended trial equation method to generalized nonlinear partial differential equations, Appl Math Comput, 219(10), 52535260 (2013)
  9. S. Jiong and Sirendaoreji, Auxiliary equation method for solving nonlinear partial differential equations, Physics Letters A, 309(5-6), 387-396 (2003)
  10. R. Khalil, M. Horani, A. Yousef. and M. Sababheh, A new definition of fractional derivative, Journal of Computational and Applied Mathematics, 264, 65-70 (2014)
  11. W. Maliet and W. Hereman, The Tanh Method: Exact Solutions of Nonlinear Evolution and Wave Equations, Physica Scripta, 54(6), 563-568 (1996)
  12. O. Tasbozan, A. Kurt and A. Tozar, New optical solutions of complex GinzburgLandau equation arising in semiconductor lasers, Applied Physics B, 125(6), 104 (2019)
  13. S. Zhang and T. Xia, A generalized F-expansion method with symbolic computation exactly solving BroerKaup equations, Appl Math Comput, 189(1), 949-955 (2007)
  14. S. Ylmaz, Yardmc Denklem Yntemi Yardm le Baz Kesirli Mertebeden Ksmi Diferansiyel Denklemlerin Analitik zmler. M.Sc. Thesis. Hatay Mustafa Kemal niversitesi, (2019).