Multi-rogue waves for a higher-order nonlinear Schrödinger equation in optical fibers

摘要

In this paper, the rational solutions with arbitrary constants of a Hirota equation are presented employing the Darboux transformations. Then, the similarity transformation allows us to relate certain class of multi-rogue wave solutions of the higher-order nonlinear Schrödinger equation (NLSE) to the solutions of (1 + 1)-dimensional integrable Hirota equation. The multi-rogue wave solutions with arbitrary constants are considered. The obtained rogue wave solutions can be used to describe the possible formation mechanisms for optical and Bose–Einstein condensates.