Rogue wave solutions for the generalized fifth-order nonlinear Schrodinger equation on the periodic background

In this paper, we construct the rogue wave solutions on the background of the Jacobi elliptic functions for a generalized fifth-order nonlinear Schrodinger (NLS) equation. Using the Jacobi elliptic function expansion method, we reduce this higher-order nonlinear equation to a lower-order ordinary differential equation. Through the approach of the nonlinearization of spectral problem and then the Darboux transformation method, two kinds of rogue periodic waves which are on dn and cn Jacobi elliptic functions background are obtained. Furthermore, we represent the nonlinear dynamics of the rogue periodic wave solutions of this higher-order equation. (C) 2021 Elsevier B.V. All rights reserved.