Investigation of Analytical Solutions of the Nonlinear Mathematical Model Representing Gas Overflowing Gaz Taşmasını Temsil Eden Doğrusal Olmayan Matematiksel Modelin Analitik Çözümlerinin Araştırılması

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Aktürk T., Gürefe Y.

Adiyaman University Journal of Science, vol.11, no.1, pp.182-190, 2021 (Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.37094/adyujsci.868800
  • Journal Name: Adiyaman University Journal of Science
  • Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.182-190
  • Keywords: Buckley-Leverett Equation, Modified exponential function method, Traveling wave solution
  • Uşak University Affiliated: No

Abstract

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.