報(bào) 告 人：喬志軍 教授

報(bào)告題目：Integrable high-order models with pseudo-peakons and rogue peakons in non-traveling wave type

報(bào)告時(shí)間：2023年7月4日（周二）下午3：30

報(bào)告地點(diǎn)：靜遠(yuǎn)樓1508會(huì)議室

主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院

報(bào)告人簡(jiǎn)介：

      喬志軍，現(xiàn)任美國(guó)德克薩斯大學(xué)數(shù)學(xué)學(xué)院首席教授。1997年獲得復(fù)旦大學(xué)數(shù)學(xué)系博士學(xué)位，師從谷超豪院士和胡和生院士。1999年獲全國(guó)百篇優(yōu)秀博士論文，1999-2001年在德國(guó)卡塞爾大學(xué)數(shù)學(xué)系任洪堡學(xué)者。研究方向是非線(xiàn)性偏微分方程，可積系統(tǒng)與非線(xiàn)性尖孤波，KdV方程和孤立子理論，可積辛映射，R-矩陣?yán)碚摚走_(dá)圖像處理和數(shù)學(xué)物理的反問(wèn)題。主持完成國(guó)家級(jí)項(xiàng)目20余項(xiàng)；在《Communications in Mathematical Physics》、《Journal of Nonlinear Science》、《Journal of Differential Equations》等著名國(guó)際刊物發(fā)表學(xué)術(shù)論文160余篇，出版著作2部；在全世界公認(rèn)的五大數(shù)學(xué)物理學(xué)術(shù)組織擔(dān)任會(huì)員；在數(shù)學(xué)物理領(lǐng)域內(nèi)的六大一流國(guó)際期刊擔(dān)任編委；將近百次被邀請(qǐng)?jiān)趪?guó)際研討會(huì)和專(zhuān)業(yè)學(xué)術(shù)會(huì)議上做主題發(fā)言與專(zhuān)題報(bào)告和學(xué)術(shù)報(bào)告，也在世界各地組織了20多次國(guó)際會(huì)議、研討會(huì)。

報(bào)告摘要：

      Most integrable peakon equations come from the negative order flow in the hierarchy. We will take an example to explain the procedure bit, and then introduce some higher order models with peakons or pseudo-peakons we proposed recently. In this talk, we also present new type of peakon solutions of partial differential equations, called rogue peakons provided with a non-traveling wave. Some linear and nonlinear models are taken to illustrate the rogue peakon solutions. Some open problems will be addressed for discussion in the end. Part of work is joint with my student Zhenteng Zeng, Dr. Baoqiang Xia, Dr. Quansheng Liu, and Dr. Enrique Reyes.