报告题目：Rogue wave in nonlinear integrable systems报 告人：秦振云，复旦大学数学学院副教授
General higher-order rogue waves of a vector nonlinear Schr¨odinger equation (Manakov system) are derived using a Darboux-dressing transformation with an asymptotic expansion method. The Nth-order semirational solutions containing 3N free parameters are expressed in separation-of-variables form. These solutions exhibit rogue waves on a multisoliton background. They demonstrate that the structure of rogue waves in this two-component system is richer than that in a one-component system. Our results would be of much importance in understanding and predicting rogue wave phenomena arising in nonlinear and complex systems, including optics,ﬂuid dynamics, Bose–Einstein condensates, andﬁnance.