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
报告时间：2019年10月2日（星期三）上午8:30-9:30
报告地点：阳明学院303
报告摘要：
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, and finance.
