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Solutions of Nonlinear Integro‐Partial Differential Equations by the Method of (G′/G, 1/G)

Author

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  • Daba Meshesha Gusu
  • Chala Bulo

Abstract

In this article, a special expansion method is implemented in solving nonlinear integro‐partial differential equations of (2 + 1)‐dimensional using a special expansion method of (G′/G, 1/G). We obtained the solutions for (2 + 1)‐dimensional nonlinear integro‐differential equations in real physical phenomena. The method is applied on (2 + 1)‐dimensional space time and solved in three different cases: hyperbolic, trigonometric, and rational functions. The obtained solutions for each result were illustrated by graphical plots using Wolfram Mathematica 9.0 software packages. Furthermore, the obtained results are exactly fit with exact solutions which solves the complicity of finding the solution for nonlinear integro‐partial differential equations. Finally, the method is powerful and effective to solve partial differential equations of nonlinear integro form.

Suggested Citation

  • Daba Meshesha Gusu & Chala Bulo, 2022. "Solutions of Nonlinear Integro‐Partial Differential Equations by the Method of (G′/G, 1/G)," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:1283138
    DOI: 10.1155/2022/1283138
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    References listed on IDEAS

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    1. Daba Meshesha Gusu & Shelama Diro & Wen-Xiu Ma, 2022. "Solitary Wave Solutions of Nonlinear Integro-Partial Differential Equations of 2+1-Dimensional and Its Models," International Journal of Differential Equations, Hindawi, vol. 2022, pages 1-46, May.
    2. Khani, F., 2009. "Analytic study on the higher order Ito equations: New solitary wave solutions using the Exp-function method," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2128-2134.
    3. Matoussi, A. & Piozin, L. & Popier, A., 2017. "Stochastic partial differential equations with singular terminal condition," Stochastic Processes and their Applications, Elsevier, vol. 127(3), pages 831-876.
    4. Armando Ciancio & Gulnur Yel & Ajay Kumar & Haci Mehmet Baskonus & Esin Ilhan, 2022. "On The Complex Mixed Dark-Bright Wave Distributions To Some Conformable Nonlinear Integrable Models," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-14, February.
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