时间:2024年12月28日18:00-19:30
地点:腾讯会议:503-306-544
报告人:任 博 教授 (浙江工业大学)
摘要:The study of Lie point symmetry is considered to be one of most effective methods for finding invariant solutions. Exact solutions of partial differential equations can be given by the Lie point method. Besides Lie point symmetry, the nonlocal symmetries which can be obtained by the algorithmic approach, inverse recursion operators, Mobious (conformal) invariant form, Darboux transformation, and Backlund transformation, are proposed. In this talk, the Lie point and nonlocal symmetry in partial differential equations will be briefly introduced. The interaction solutions among different nonlinear excitations are obtained by the localization of the nonlocal symmetry to the Lie point symmetry. Finally, some of their applications are given.
报告人简介:任博,教授,博士生导师,主要从事非线性可积系统和超标准模型理论研究。已在Phys. Rev. D, Phys. Lett. B, Phys. Rev. E, J. Math. Phys., J. High Ener. Phys.等SCI收录的杂志上发表80余篇学术论文,论文总引用1000余次,其中1篇论文入选2012年中国百篇最具影响国际学术论文,1篇论文被国际知名科学/科技新闻杂志《New Scientist》刊登文章报道,2篇论文获绍兴市自然科学优秀论文一等奖。主持国家自然科学基金面上项目1项、国家自然科学基金青年项目1项和浙江省自然科学基金项目1项。入选 2019年度绍兴市优秀科技工作者先进典型,2020年度绍兴市青年科技英才。
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