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甬江数学讲坛(2019年第37讲)

发布日期:2019-09-30 作者:数学与统计学院 文章来源:  责任编辑: 浏览量:

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, andfinance.

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