报告题目:Pseudopotentials and Nonlinear Waves
报 告 人:杨云青(浙江科技学院 教授)
报告时间:2023年10月25日 13:30--14:30
报告地点:#腾讯会议:110-383-222
报告摘要:In this talk, we first introduce the pseudopotentials of integrable systems, from which some integrable properties and Darboux transformations are derived. Secondly, the concepts of pseudopotentials are generalized to the nonlocal and discrete integrable systems, form which various types of nonlinear localized wave solutions on constant background and their corresponding dynamical properties are investigated. Finally, nonlinear wave solutions on constant background are generalized to the nonconstant background, and some interesting nonlinear wave solutions including soliton, breather and rogue wave solutions on two types of periodic backgrounds are constructed, and the corresponding dynamics are studied.
报告人简介:杨云青,教授,博士,硕士生导师,舟山市“111人才工程第三层次”人选。2011年博士毕业于华东师范大学,2013年至2015年于中国科学院数学与系统科学研究院数学机械化重点实验室从事博士后研究工作,2018年至2019年访问台湾大学、香港教育大学与日本大阪大学。主要从事可积系统、孤立子、复杂非线性波等非线性数学物理领域的科研工作。主持完成国家自然科学基金3项,浙江省自然科学基金2项,中国博士后基金1项,参与国家自然科学基金与浙江省自然科学基金多项。在《Chaos》、《Applied Mathematics Letters》、《Journal of Mathematical Physics》与《Nonlinear Dynamics》等国内外学术期刊上发表论文30余篇,他引800余次。