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Multiple wave solutions for nonlinear burgers equations using the multiple exp-function method

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  • Khaled A. Gepreel

    (Mathematics Department, Faculty of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia†Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt)

  • E. M. E. Zayed

    (��Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt)

Abstract

In this paper, we use the multiple exp-function method to explicity present traveling wave solutions, double-traveling wave (DTW) solutions and triple-traveling wave solutions (TWs) which include one-soliton, double-soliton and triple-soliton solutions for nonlinear partial differential equations (NPDEs) via, the (2+1)-dimensional and (3+1)-dimensional nonlinear Burgers PDEs in mathematical physics. In this work, we build some series of straightforward and new solutions successfully with the help of a computerized symbol computational software package like Maple or Mathematica. We will make some drawings in some cases with specific values for the relevant parameters for each obtained solutions such as the one-traveling wave solutions, double-traveling wave solutions and TWs. This method is efficient and powerful in solving a wide class of NPDEs.

Suggested Citation

  • Khaled A. Gepreel & E. M. E. Zayed, 2021. "Multiple wave solutions for nonlinear burgers equations using the multiple exp-function method," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 32(11), pages 1-16, November.
    • Handle: RePEc:wsi:ijmpcx:v:32:y:2021:i:11:n:s0129183121501497
    DOI: 10.1142/S0129183121501497
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