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报告地点:江宁校区励学楼A213
主办单位:理学院
报告摘要:
In this talk, we are concerned with a singularly perturbed higher-order KdV equation which is considered as a paradigm in nonlinear science and has many applications in weakly nonlinear and weakly dispersive physical systems. Based on the relation between solitary wave solution and homoclinic orbits of the associated ordinary differential equations, the persistence of the solitary wave solution for the singularly perturbed KdV equation is investigated by using the geometric singular perturbation theory and dynamical systems approach when the perturbation parameter is suitably small.
报告人简介:
杜增吉,江苏师范大学数学与统计学院教授、院长,江苏省“333高层次人才培养工程”中青年科学技术带头人、江苏省“青蓝工程”中青年学术带头人和江苏省“青蓝工程”优秀青年骨干教师。主要从事常微分方程与动力系统、奇异摄动理论及其应用、生物数学等研究工作,任中国数学会奇异摄动专业委员会理事。