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学术报告
学术报告
美国德克萨斯大学乔志军教授学术报告通知
澳门新葡新京:系统管理员??发布时间:2017-07-24?? 浏览次数:71

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:2017725 下午16001700

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.

 

报告人概况: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,谷歌 Scholar上被引用2000多次 。组织超过20个国际会议、研讨会。

 

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