应数学系薛小平教授邀请，美国德克萨斯大学乔志军（Qiaozhi Jun）教授将于近日来我校进行讲学活动，欢迎感兴趣的师生参加！

报告题目：Integrable system with peakon, weak kink, and kink-peakon interactional solutions

报告时间：2017年7月25日 下午16：00—17：00

报告地点：格物楼503

报告摘要：In this work, we study an integrable system with both quadratic and cubic nonlinearity. This model is kind of a cubic generalization of the Camassa-Holm (CH) equation. The equation is shown integrable with its Lax pair, bi-Hamiltonian structure, and infinitely many conservation laws. In the case of no linear term, the peaked soliton (peakon) and multi-peakon solutions are presented. In particular, the two-peakon dynamical system is explicitly presented and their collisions are investigated in details. In some special case, the weak kink and kink-peakon interactional solutions are found. Significant difference from the CH equation is analyzed through a comparison. In the paper, we also study all possible smooth one-soliton solutions for the system.

报告人简介：乔志军于1997年获得复旦大学数学系博士学位，从师谷超豪院士和胡和生院士。1999年获得百篇优秀博士毕业论文。1997-2001任辽宁大学数学系教授。1999-2001，德国，卡塞尔综合大学，数学系，洪堡基金研究员。现任教于美国德克萨斯大学数学系，终身教授（德州大学特聘首席教授），主管研究生项目 。研究方向是非线性偏微分方程，可积系统，孤立子理论，可积辛映射，R-矩阵理论，雷达图像处理和数学物理的反问题。现已出版著作2部，发表论文130余篇，Google Scholar上被引用2000多次 。组织超过20个国际会议、研讨会。