Araştırma Makalesi

Investigation of Analytical Solutions of the Nonlinear Mathematical Model Representing Gas Overflowing

Cilt: 11 Sayı: 1 30 Haziran 2021
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Investigation of Analytical Solutions of the Nonlinear Mathematical Model Representing Gas Overflowing

Öz

In this study, traveling wave soliton solutions of hyperbolic and trigonometric functions are successfully obtained by using the modified exponential function method of the Buckley-Leverett equation. In addition to these, there are also rational function solutions. Two and three-dimensional graphs of real and imaginary parts are included with contour simulations to physically analysis of the solution functions of the equation analyzed as a mathematical model using Mathematica software.

Anahtar Kelimeler

Kaynakça

  1. [1] Sun, Y., New travelling wave solutions for Sine-Gordon equation, Journal of Applied Mathematics, 2014.
  2. [2] Bulut, H., Akturk, T., Gurefe, Y., Traveling wave solutions of the (N+ 1)-dimensional sine-cosine-Gordon equation, American Institute of Physics Conference Proceedings, 1637(1), 145-149, 2014.
  3. [3] Liu, C. S., Trial equation method and its applications to nonlinear evolution equations, Acta Physica Sinica., 54(6), 2505-2509, 2005.
  4. [4] Shen, G., Sun, Y., Xiong, Y., New travelling-wave solutions for Dodd-Bullough equation, Journal of Applied Mathematics, 2013.
  5. [5] Akturk, T., Bulut, H., Gurefe, Y., New function method to the (n+1)-dimensional nonlinear problems, An International Journal of Optimization and Control: Theories & Applications, 7(3), 234-239, 2017.
  6. [6] Pandir, Y., Gurefe, Y., Kadak, U., Misirli, E., Classification of exact solutions for some nonlinear partial differential equations with generalized evolution, Abstract and Applied Analysis, 2012, 16, 2012.
  7. [7] Akturk, T., Bulut, H., Gurefe, Y., An application of the new function method to the Zhiber-Shabat equation, An International Journal of Optimization and Control: Theories & Applications, 7(3), 271-274, 2017.
  8. [8] Chen, Y., Yan, Z., New exact solutions of (2+ 1)-dimensional Gardner equation via the new sine-Gordon equation expansion method, Chaos, Solitons & Fractals, 26(2), 399-406, 2005.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Uygulamalı Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Haziran 2021

Gönderilme Tarihi

26 Ocak 2021

Kabul Tarihi

28 Mayıs 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 11 Sayı: 1

Kaynak Göster

APA
Gürefe, Y., & Aktürk, T. (2021). Investigation of Analytical Solutions of the Nonlinear Mathematical Model Representing Gas Overflowing. Adıyaman University Journal of Science, 11(1), 182-190. https://doi.org/10.37094/adyujsci.868800
AMA
1.Gürefe Y, Aktürk T. Investigation of Analytical Solutions of the Nonlinear Mathematical Model Representing Gas Overflowing. ADYU J SCI. 2021;11(1):182-190. doi:10.37094/adyujsci.868800
Chicago
Gürefe, Yusuf, ve Tolga Aktürk. 2021. “Investigation of Analytical Solutions of the Nonlinear Mathematical Model Representing Gas Overflowing”. Adıyaman University Journal of Science 11 (1): 182-90. https://doi.org/10.37094/adyujsci.868800.
EndNote
Gürefe Y, Aktürk T (01 Haziran 2021) Investigation of Analytical Solutions of the Nonlinear Mathematical Model Representing Gas Overflowing. Adıyaman University Journal of Science 11 1 182–190.
IEEE
[1]Y. Gürefe ve T. Aktürk, “Investigation of Analytical Solutions of the Nonlinear Mathematical Model Representing Gas Overflowing”, ADYU J SCI, c. 11, sy 1, ss. 182–190, Haz. 2021, doi: 10.37094/adyujsci.868800.
ISNAD
Gürefe, Yusuf - Aktürk, Tolga. “Investigation of Analytical Solutions of the Nonlinear Mathematical Model Representing Gas Overflowing”. Adıyaman University Journal of Science 11/1 (01 Haziran 2021): 182-190. https://doi.org/10.37094/adyujsci.868800.
JAMA
1.Gürefe Y, Aktürk T. Investigation of Analytical Solutions of the Nonlinear Mathematical Model Representing Gas Overflowing. ADYU J SCI. 2021;11:182–190.
MLA
Gürefe, Yusuf, ve Tolga Aktürk. “Investigation of Analytical Solutions of the Nonlinear Mathematical Model Representing Gas Overflowing”. Adıyaman University Journal of Science, c. 11, sy 1, Haziran 2021, ss. 182-90, doi:10.37094/adyujsci.868800.
Vancouver
1.Yusuf Gürefe, Tolga Aktürk. Investigation of Analytical Solutions of the Nonlinear Mathematical Model Representing Gas Overflowing. ADYU J SCI. 01 Haziran 2021;11(1):182-90. doi:10.37094/adyujsci.868800