学 术 报 告

报告题目：非局部对称

主讲专家：林机  教授/博导浙江师范大学

报告时间：2020年11月24日（周二） 上午 10：30-12：00

报告形式：腾讯会议  ID：832 578 169

报告摘要：The soliton molecules of the Korteweg-de Vries (KdV) equation with higher-order corrections are studied by using the velocity resonance mechanism and the multisoliton solution. The interaction between a soliton molecule and one-soliton of the KdV equation with higher-order corrections is elastic by means of analytical and graphical ways. The nonlocal symmetry of the KdV equation with higher-order corrections is derived by the truncate Painlev´e analysis. An nonauto-B¨acklund theorem is established by solving the initial value problem of the Lie’s first principle of the nonlocal symmetry. In the meanwhile, the KdV equation with higher-order corrections is proved to be a consistent Riccati expansion (CRE) solvable system by exploiting the CRE methodh higher-order corrections.

专家介绍：林机，浙江师范大学教授、博士生导师。主要从事非线性物理中的数学物理方法、周期性光学介质的孤子现象及其稳定性和超相互作用的非线性理论研究，国家自然科学基金重点项目主持人。自然基金面上项目5项，主持浙江省自然基金重点项目1项目，主持省部级一般项目3项。发表国内外重要学术期刊上发表SCI论文120余篇。获获教育部科技进步二等奖（排名第二），获浙江省高校优秀科研成果一、二等奖。