Rogue-wave solutions of a higher-order nonlinear Schrödinger equation for inhomogeneous Heisenberg ferromagnetic system

摘要

In this paper, a higher-order nonlinear Schrödinger equation for the inhomogeneous Heisenberg ferromagnetic spin system is studied. By virtue of the generalized Darboux transformation, higher-order rogue-wave solutions are derived. Rogue-wave propagation and interaction are analyzed. We have observed that perturbation parameter and inhomogeneities in the medium affect the propagation speed and direction of first-order rogue waves and interaction of second-order rogue waves.