At the invitation of the school of Mathematical Sciences,Professor Baofeng Feng from the University of Texas, USA, delivered an academic report entitled "General Soliton Solutions for Nonlocal NLS Equations with Zero-and Nonzero Boundary Conditions" at the Tencent Conference on the morning of April 7, 2021.Some teachers and graduate students from Department of Applied Mathematics in the School of Mathematical Sciences attended the conference.
Professor Feng received his PhD from Kyoto University in Japan in 2000 and then worked in the Department of Mathematics at the University of Texas, USA. He has published more than 60 academic papers in the fields of integrable and discrete integrable systems, scientific calculation and numerical methods for partial differential equations (PDE), nonlinear waves, lattice formation and perturbation methods.
Professor Feng introduced in detail the general soliton solutions of the nonlocal nonlinear Schrodinger equation (NLS) under zero boundary conditions and non-zero boundary conditions. By combining Hirota's bilinear method and Kadomtsev-Petviashvili (Kp) hierarchical reduction method, we construct the general n-soliton solution under zero boundary conditions from the tau function of binary Kp hierarchy. Then, the general soliton solutions of the nonlocal NLS equations with nonzero boundary conditions are constructed from the single-component Kp level Tau function.
Finally, professor Feng answered some questions in detail, end of the meeting successfully.