数学与系统科学研究院

计算数学研究所学术报告

                                                                                                                                                               报告人：  张玉峰

           计算数学研究所

                    zhang_yfshandong@163.com

 报告题目:   A subalgebra of loop algebra and its applications

Abstract:  A  subalgebra of loop algebra and its expanding loop algebra are constructed. It follows that both resulting integrable Hamiltonian hierarchies are obtained. As a reduction case of the first hierarchy, a generalized nonlinear coupled Schrodinger equation, the standard heat-conduction and a formalism of the well known Ablowitz, Kaup, Newell and Segur hierarchy are given, respectively. As a reduction case of the second hierarchy, the nonlinear Schrodinger and modified Korteweg de Vries hierarchy and a new integrable system are presented. Especially, a coupled generalized Burgers equation is generated.

报告时间：  2003年9月10日(星期三)   下午4：00-5：00

报告地点：  科技综合楼三层报告厅