主讲专家：张玉峰教授/博导 中国矿业大学
报告题目： Schemes for Generating Different Nonlinear Schr\"{o}dinger Integrable Equations and Their Some Properties
报告时间：2022年10月23日（周天）上午10：00-11：30
腾讯会议号:581505308
联系人：王海峰副教授
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报告摘要：Abstract. We want to derive a few of nonlinear Schr¨odinger equations with various formats and investigate their properties, such as symmetries, single soliton solutions, multi-soliton solutions, and so on. First of all, we propose an efficient and straightforward scheme for generating nonisospectral integrable hierarchies of evolution equations for which a generalized nonisospectral integrable Schr¨odinger hierarchy (briefly GNISH) singles out, from which we get a derivative nonlinear Schr¨odinger equation, a generalized nonlocal Schr¨odinger integrable system and furthermore we investigate the symmetries and conserved qualities of the GNISH. Next, we apply the dbar method to obtain a generalized nonlinear Schr¨odinger-Maxwell-Bloch (GNLS-MB) equation and its hierarchy by introducing a generalized Zakhrov-Shabat spectral problem, whose soliton solutions and gauge transformations are obtained.
专家介绍：张玉峰，男，理学博士，中国矿业大学数学学院教授，博士生导师。在《Journal ofMathematical Physics》,《Journal of Physics A》,《Journal ofDifferential Equations》,《数学学报》，《应用数学学报》，《数学物理学报》，《物理学报》，《Chinese Physics B》等国内外著名学术期刊上独立或合作发表科研论文130余篇，合作专著三部。先后主持和参与多项国家自然科学基金面上项目、中央高校基金项目、中国博士后基金等项目。目前担任Journal of Nonlinear Mathematical and Physics, Symmetry等多个期刊编委，2014年到2021年连续8年入选欧洲出版公司爱思唯尔公布的数学领域中国高被引学者。
