Prof. Chen Yong, Prof. Fan Engui and Prof. Yan Zhenya were invited to give academic lectures in our institute

On the afternoon of April 24, Chen Yong, professor and doctoral supervisor of East China Normal University, Fan Engui, professor and doctoral supervisor of Fudan University, and Yan Zhenya, researcher and doctoral supervisor of Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, were invited by the School of Applied Mathematics of our university. Asymptotic Stability of N-Soliton Solutions will be offered respectively under the terms of "Candidates Wave and Integrable Deep Learning Algorithm" and "Asymptotic Stability of N-Soliton Solutions" in the large Conference Room on the 6th Floor of the Information Building The Defocusing NLS Equation with Finite Density Initial Data and Nonlinear Schrodinger Equation with PT-Symmmetric Delta-function elevate academic lecture. This academic lecture was presided over by President ZHOU Yuqian. Nearly 80 teachers, graduate students and undergraduate students of the School of Applied Mathematics actively participated in this lecture.

Professor Yong Chen reported on the research team's work on local waves and the recent progress of integrable deep learning algorithms. Firstly, the history of solitons, the combination of solitons and computers and several methods of solving local waves are introduced. Then, several kinds of nonlinear partial differential equations are solved by various methods.

Professor Fan Engui gave some asymptotes and spectral analysis under defocus NLS equation. The initial value problem is transformed into RH problem by spectral analysis, and then the solution of Schrodinger equation is obtained by finding the limit of the solution of RH problem. Finally, the pure D-bar Neumann problem and its asymptotic properties and the asymptotic stability of Schrodinger equation are introduced.

Yan Zhenya introduced the development of classical quantum mechanics and quantum mechanics under PT symmetry, discussed the soliton structure and stability of the generalized Schrodinger equation and defocus NLS equation with different potential functions under PT symmetry, and gave some numerical simulation diagrams of strange waves to explain and elaborate in detail.

The EXPERTS ANSWERED THE DOUBTS OF teachers AND STUDENTS about the content of the lecture one by one, and had an earnest discussion with the students about the academic research. The lecture deepened the scientific research atmosphere of the college, and the teachers and students benefited a lot from the lecture.

Expert introduction

Chen Yong, male, East China Normal University, doctoral supervisor, Top talent of Minhang District, Shanghai. He has long been engaged in research in nonlinear mathematical physics, integrable systems, computer algebra and program development, integrable deep learning, atmospheric and ocean dynamics, and other fields. A series of mechanized methods for solving nonlinear equations are proposed, Lie group theory is developed and successfully applied to the study of atmospheric and ocean physical models, a series of mechanized nonlinear development equations research programs are developed, and an integrable deep learning framework is proposed. He has published 280 papers in international academic journals indexed by SCI. He has published more than 4,000 SCI citations. He has presided over 3 NSFC projects, participated in 2 NSFC key projects (first participant and project leader), 1 NSFC 973 project (key scientist), and 2 NSFC Changjiang Team projects (key member). So far, 21 doctoral students have been trained, among which 15 have graduated.

Fan Engui is a professor and doctoral supervisor at Fudan University. His research interests include the theory of soliton, integrable systems, Riemann-Hilbert problems, orthogonal polynomials and random matrix theory. He has won the second prize of Natural Science of the Ministry of Education, the Second Prize of Natural Science of Shanghai, and the Gu Chaohao Mathematics Award of Fudan University. He has led many research projects, such as National Natural Science Foundation of China, Shanghai Dawning Program, and Tracking Project of Shanghai Dawning Program.

Yan Zhenya, Researcher of the Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, doctoral supervisor, winner of the National Outstanding Youth Fund, winner of 100 outstanding doctoral theses. Awarded the 2008 Lu Jiaxi Young Talent Award by the Chinese Academy of Sciences. Hosted the "Mathematics and Quantum Physics Effect Innovation cross team" innovation cross team project. His research interests include mathematical physics, nonlinear waves and integrable systems, PT symmetry, weirdness and applications, etc.