In this paper, we investigate the nonlinear dynamics of a Heisenberg spin chain with an external time-oscillating magnetic field. Such dynamics can be described by a Landau–Lifshitz-type equation. We apply the Darboux transformation method to the linear eigenvalue problem associated with this...

In this paper, an N-coupled nonlinear Schrödinger system in optical fibers with energy-exchanging and different self-phase modulation and cross-phase modulation terms is investigated. The system is found to be integrable in the sense of passing the Painlevé analysis. The Lax pair for the...