報告題目: Integrable Peakon Models
報告人：喬志軍教授
報告邀請人：鄭召文
報告時間: 2024年4月1日(星期一), 15:00-16:00
報告地點: 東校區(qū)第二教學(xué)樓303
內(nèi)容摘要: In this talk, we will introduce integrable peakon models developed in recent years and present a basic approach how to get the peakon solutions of integrable equations. We will see that the well-known CH equation is included in the negative order CH hierarchy while the Dym type equation is included in the positive order CH hierarchy. In particular, the CH peakon equation is extended to the b-family quadratic and cubic peakon models (FORQ and Novikov Equations etc) with peakon and weak-kink solutions. We will also present new type of peakon solutions of partial differential equations, called rogue peaked solitons provided with a non-traveling wave. Some linear and nonlinear models are taken to illustrate the rogue peakon solutions. In the end of the talk, some open problems are proposed for discussion.
報告人簡介: 喬志軍，美國德克薩斯大學(xué)講席教授。1997年獲得復(fù)旦大學(xué)博士學(xué)位,師從谷超豪院士和胡和生院士。主要從事非線性偏微分方程,可積系統(tǒng)與非線性尖孤波,KdV方程和孤立子理論,可積辛映射,R-矩陣?yán)碚?雷達(dá)圖像處理和數(shù)學(xué)物理的反問題等領(lǐng)域的研究。1999年獲全國首屆百篇優(yōu)秀博士論文, 1999-2001年在德國任Humboldt學(xué)者。主持完成國家級和國際級項目20余項。在國際權(quán)威刊物Communications in Mathematical Physics、IEEE Transaction on Geoscience and Remote Sensing (TGRS)等發(fā)表學(xué)術(shù)論文150多篇,出版著作2部。已指導(dǎo)研究生和博士后數(shù)十名，現(xiàn)任國際著名刊物Studies in Applied Mathematics編委和Journal of Nonlinear Mathematical Physics主編之一。
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