报告题目：The application ofbidifferential calculusin integrable systems

报告人：张翼教授（浙江师范大学）

报告时间：2025年11月19日上午10:00-12:00

报告地点：数学院一楼134报告厅

报告摘要：In this talk, in the framework of bidifferential calculus, we investigate the integrable systems via a matrix version of the binary Darboux transformation which involves a Lyapunov equation. With a spectral matrix of the form of diagonal and vanishing seed solutions, the corresponding matrix solution of the Lyapunov equation is given, which can contain zero entries, which should be helpful for further explorations of the solutions of equations with this method. From vanishing and nonvanishing seed solutions, abundant soliton solutions are provided corresponding to a spectral matrix of the form of a Jordan block. In particular, based on the properties of nilpotent matrices, we construct the semirational rogue wave solutions, which can demonstrate the coexistence of rational rogue wave and bright/dark soliton.

个人简历：张翼，浙江师范大学数学科学学院教授，博士生导师，浙江师范大学动力系统与非线性科学研究中心主任;浙江省应用数学研究会副理事长;中国优选法统筹法与经济数学研究会理事；国家科学技术奖自然科学奖以及多个省市自然科学奖评审专家；科技部数学专项、教育部学位中心评审专家.主要研究方向为孤立子理论与可积系统,应用数学.曾在美国南佛罗里达大学、阿拉巴马大学、香港中文大学、日本九州大学、斯洛文尼亚马里博尔大学等多所大学访问.主持过多项国家自然科学基金项目及浙江省自然科学基金研究项目；获得过浙江省科学技术进步奖一等奖和浙江省人民政府优秀教学成果二等奖.