On a bidirectional fifth order partial differential



报告题目:On a bidirectional fifth order partial differential




报告摘要:In this talk, we consider a bidirectional fifth-order partial differential equation. By means of the prolongation structure method of Wahlquist and Estabrook, we construct a Lax representation for this equation. This enables us to confirm its integrability and identify it as the potential second order flow in a Gelfand-Dickey hierarchy. We also use Darboux transformation and present the multi-soliton solutions in Wronskian form. Finally, we comment on a more general bidirectional partial differential equation. 

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,1992年博士毕业于英国利兹大学,2004-2020年期间担任中国矿业大学(北京)理学院院长,2002年入选教育部“跨世纪人才培养计划”,2007年获北京市高等学校教学名师,2007年享受国务院政府特殊津贴,2017年获得北京市高等教育成果一等奖。在可积系统以及超对称理论方面做出了一系列重要的工作,其中包括超对称KdV方程的Darboux变换理论等原创的结果。在Communications in Mathematical Physics, Physics Letters B, Nonlinearity, Journal of Nonlinear Science,Inverse Problems等杂志发表论文百余篇。