报告题目:Bäcklund transformations for the short pulse equation
报 告 人:刘青平 中国矿业大学(北京) 教授
报告时间:2020年11月20日(星期五)8:30开始
报告地点:腾讯会议//meeting.tencent.com/s/9VTMJmUcQbyY
会议ID:503 119 773
报告摘要:A Bäcklund transformation (BT), which involves both independent and dependent variables, is established and studied for the short pulse (SP) equation. Based it, the nonlinear superposition formulae for 2-, 3-, and 4-BT are presented. The general result for the composition of N-BTs is achieved and given in terms of determinants. As applications, various solutions including loop solitons, breather solutions, and their interaction solutions are worked out.
报告人简介:刘青平 中国矿业大学(北京)理学院 教授,博士生导师。一直从事数学物理中可积系统的研究,研究兴趣主要集中在可积系统的Hamiltonian理论、W代数、Darboux-Backlund变换、超对称可积系统、怪波(rogue waves)、Camassa-Holm型方程等方面。主持过4项国家自然科学基金面上项目,参加过3项国家自然科学基金重点项目。目前主持1项国家自然科学基金面上项目,参加1项国家自然科学基金重点项目。已发表论文90余篇,研究成果发表在Communications in Mathematical Physics, Physical Review E, Nonlinearity, Journal of Nonlinear Science, Journal of Physics A, Studies in Applied Mathematics, Letters in Mathematical Physics, Journal of Geometry and Physics, Journal of Mathematical Physics等国际学术刊物。