Modulation instability analysis and longitudinal wave propagation in an elastic cylindrical rod modelled with Pochhammer-Chree equation
Sign Up to like & getrecommendations! Published in 2021 at "Physica Scripta"
DOI: 10.1088/1402-4896/abdcf7
Abstract: In this article, propagation of solitary wave solutions to the Pochhammer-Chree equation(PC) are investigated. Different kinds of solutions like bright-dark, kink, singular, hyperbolic, rational, trigonometric as well as Jacobi elliptic function solutions are obtained. The… read more here.
Keywords: propagation; chree equation; instability analysis; modulation instability ... See more keywords
Pochhammer–Chree equation solver for dispersion correction of elastic waves in a (split) Hopkinson bar
Sign Up to like & getrecommendations! Published in 2021 at "Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science"
DOI: 10.1177/0954406220980509
Abstract: A robust algorithm for solving the Bancroft version of the Pochhammer–Chree (PC) equation is developed based on the iterative root-finding process. The formulated solver not only obtains the conventional n-series solutions but also derives a… read more here.
Keywords: series; solver; series solutions; pochhammer chree ... See more keywords