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Similarity Reduction and similarity solutions of Zabolotskay–Khoklov equation with a dissipative term via symmetry method

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  • Moussa, M.H.M.
  • El Shikh, Rehab.M.

Abstract

Similarity reductions of the Zabolotskay–Khoklov equation with a dissipative term to one-dimensional partial differential equations including Burger's equation are investigated by the symmetry method. Some similarity solutions of the Z–K equation are obtained via the method of travelling wave technique due to Jeffery and Xu and the method of separation of variables.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:371:y:2006:i:2:p:325-335
    DOI: 10.1016/j.physa.2006.04.044
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    Cited by:

    1. 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.

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