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Analytical Wave Solutions for Foam and KdV-Burgers Equations Using Extended Homogeneous Balance Method

Author

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  • U.M. Abdelsalam

    (Department of Mathematics, Faculty of Science, Fayoum University, Fayoum 63514, Egypt
    Department of Mathematics, Rustaq College of Education, Ministry of Higher Education, Rustaq 329, Oman)

  • M. G. M. Ghazal

    (Department of Mathematics, Rustaq College of Education, Ministry of Higher Education, Rustaq 329, Oman
    Department of Mathematics, Minia University, Minia 61519, Egypt)

Abstract

In this paper, extended homogeneous balance method is presented with the aid of computer algebraic system Mathematica for deriving new exact traveling wave solutions for the foam drainage equation and the Kowerteg-de Vries–Burgers equation which have many applications in industrial applications and plasma physics. The method is effective to construct a series of analytical solutions including many types like periodical, rational, singular, shock, and soliton wave solutions for a wide class of nonlinear evolution equations in mathematical physics and engineering sciences.

Suggested Citation

  • U.M. Abdelsalam & M. G. M. Ghazal, 2019. "Analytical Wave Solutions for Foam and KdV-Burgers Equations Using Extended Homogeneous Balance Method," Mathematics, MDPI, vol. 7(8), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:729-:d:256467
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    References listed on IDEAS

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    1. Moussa, M.H.M. & El Shikh, Rehab.M., 2006. "Similarity Reduction and similarity solutions of Zabolotskay–Khoklov equation with a dissipative term via symmetry method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 325-335.
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