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中國煤油大學(北京)許韜傳授學術報告

宣布者:陳冰潔宣布時候:2019-11-11閱讀次數:10

報告標題問題:Rational solutions of the defocusing nonlocal nonlinear Schr?dinger equation: Asymptotic analysis and soliton interactions

報告時候:20201112日周四1400—1600

報告地址:騰訊集會ID681 226 112

報告人:許韜 傳授

報告擇要:We study the asymptotic behavior and soliton interactions for the rational solutions of the defocusing nonlocal nonlinear Schr?dinger equation. Based on an improved asymptotic analysis method, we derive the explicit expressions of all asymptotic solitons of the rational solutions with the order 1≤N≤4. It turns out that the asymptotic solitons are localized in the straight or algebraic curves, and the exact solutions approach the curved asymptotic solitons with a slower rate than the straight ones. Moreover, we find that all the rational solutions exhibit five different types of soliton interactions, and that the interacting solitons are divided into two halves with each having the same amplitudes. Particularly for the curved asymptotic solitons, there exists a slight difference for their velocities between at t and -t. In addition, we reveal that the soliton interactions in the rational solutions with N≥2 are stronger than those in the exponential and exponential-and-rational solutions.

報告人簡介:許韜,前后于北京航空航天大學和北京郵電大學取得學士和博士學位,現為中國煤油大學(北京)理學院數學系傳授,力學博士生導師。首要處置可積體系和非線性數學物理方程研討,掌管國度天然迷信基金2項,掌管煤油類科研課題1項。最近幾年來,在Physica DPhysical Review EPhysics Letters AJournal of Mathematical Physics等國際著名期刊頒發第一作者或通信作者論文30余篇,當選ESI高被引論文3篇、熱門論文1篇,累計SCI他引次數達1000余次。


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