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On the integrability of the generalized Pochhammer–Chree (PC) equations

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  • EL Achab, Abdelfattah

Abstract

In this paper, the generalized Pochhammer–Chree (PC) equations which the propagation of longitudinal deformation waves in an elastic rod is considered. By using the Weierstrass elliptic function method, we find exact traveling wave solutions. As a result, some previously known solutions are recovered, and at the same time some new ones are also given. Moreover, three-dimension and two-dimension graphics of some solutions have been plotted.

Suggested Citation

  • EL Achab, Abdelfattah, 2020. "On the integrability of the generalized Pochhammer–Chree (PC) equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    • Handle: RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119319910
    DOI: 10.1016/j.physa.2019.123576
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    References listed on IDEAS

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    1. He, Ji-Huan & Wu, Xu-Hong, 2006. "Exp-function method for nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 700-708.
    2. He, Ji-Huan & Abdou, M.A., 2007. "New periodic solutions for nonlinear evolution equations using Exp-function method," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1421-1429.
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