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

Abdelfattah EL Achab

Physica A: Statistical Mechanics and its Applications, 2020, vol. 545, issue C

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.

Keywords: Wave solutions; Weierstrass elliptic function method; Generalized Pochhammer–Chree equations (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119319910

DOI: 10.1016/j.physa.2019.123576

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