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Intricate dynamics of rogue waves governed by the nonlinear integrable equation
秦振云 副教授(复旦大学)
2020年12月10日8:00-9:00  腾讯会议ID:241 296 831

*主持人:唐晓艳 教授
*时间:2020年12月10日8:00-9:00
*地点:腾讯会议ID:241 296 831

*讲座内容简介:
We present intricate dynamics of rogue waves governed by the nonlinear integrable equation. Especially, we show the second order rogue wave solutions of the Sasa-Satsuma evolution equation that have significantly more complicated structure than in the case of the nonlinear Schr?dinger equation. This equation takes into account the third order dispersion, self-frequency shift and self-steepening effects, thus making it closer to realistic physical applications. These effects are important both for water waves and pulses in optical fibres. Although the Sasa?Satsuma equation is integrable, the degree of complexity of these new solutions has prevented them being found previously. Here, we present in explicit form the second-order rogue wave solutions of the Sasa-Satsuma equation for three free parameter values of the family of rogue wave solutions. Special choices of the free parameters allow us to present these solutions in the simplest possible way and to illustrate them graphically.


*主讲人简介:
秦振云,博士,复旦大学,主持国家自然科学基金两项,主持复旦大学“一流建设”原创科研个性化支持项目(引导项目),主持教育部博士点教师基金; 应邀访问过美国密歇根大学,香港大学,欧洲挪威科技大学,巴黎萨克雷大学等。