讲座题目：Trajectory Equation of a lump before and after collision with line, lump and breather waves 主讲人：李彪 教授 主持人：陈勇 教授 开始时间：2019-07-04 15:00:00 结束时间：2019-07-04 16:00:00 讲座地址：中北校区数学馆东202 主办单位：计算机科学与软件工程学院
报告人简介： 李彪教授，男，博士，博士后。主要从事数学物理，Lie群及其在微分方程中的应用，数学机械化等领域的研究工作。已在SCI系统发表学术论文100余篇，发表论文已被SCI他引1000多次。主持完成国家自然科学基金3项，中国博士后基金1项，浙江省自然科学基金2项。参与完成国家自然科学基金和省、市自然科学基金多项。现参加国家自然科学基金重点项目一项，主持国家自然科学基金面上1项。 报告内容： Based on the hybrid solutions to (2+1)-dimensional Kadomtsev-Petviashvili (KP) equation, the motion trajectory of the solutions to KP equation is further studied. We obtain trajectory equation of a single lump before and after collision with line, lump and breather waves by approximating solutions of KP equation along some parallel orbits at infinity. We derive the mathematical expression of the phase change before and after the collision of a lump wave. At the same time, we give some collision plots to reveal the obvious phase change. Our method proposed to find the trajectory equation of a lump wave can be applied to other (2+1) dimension integrable equations.The results expand the understanding of lump, breather and hybrid solutions in soliton theory. |
