Lie point, nonlocal symmetry and their applications of nonlinear partial differential equations
任博 教授(浙江工业大学)
2021年5月7日13:00-14:00 闵行校区统计楼125室
*讲座内容简介:
The study of Lie point symmetry is considered to be one of most effective methods for finding invariant solutions. To obtain new solutions of partial differential equations, several extensions to local symmetry methods have been proposed. The nonlocal symmetries can be obtained by the algorithmic approach, inverse recursion operators, M?bious (conformal) invariant form, Darboux transformation, and B?cklund transformation. 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.
*主讲人简介:
任博,浙江工业大学理学院教授,主要从事非线性可积系统和超标准模型理论的研究,已在Phys. Rev. D, Phys. Lett. B, Phys. Rev. E等SCI收录的杂志上发表60余篇SCI收录学术论文,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,获2015-2016年度绍兴市自然科学优秀论文一等奖和2017-2018年度绍兴市自然科学优秀论文二等奖。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。主持国家自然科学基金2项,浙江省自然科学基金1项。
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