Academic Report of School of Mathematical Sciences [2025] No. 152

(Series Report for High-Level University Construction No. 1253)

Title：Orbital stability of a soliton solution for the derivative nonlinear Schrodinger equation in the L^2 space

Speaker：Associate Professor Yiling Yang（Chongqing University）

Time：10:00-11:00, Dec.15, 2025

Location：Zhizhi Building 701, Shenzhen University

Abstract：In this paper, we establish the orbital stability of a soliton solution for the derivative nonlinear Schrödinger equation under perturbations in L^2 (R). We demonstrate this stability by utilizing the Bäcklund transformation associated with the Lax pair and by applying the first conservation quantity in L^2(R).

Speaker Profile：Yiling Yang , Associate Professor at the School of Mathematics and Statistics, Chongqing University. She joined Fudan University in 2013, completing her undergraduate, master's, doctoral, and postdoctoral studies there under the guidance of Professor Fan Engui. Her research primarily employs Riemann-Hilbert methods to investigate the long-time asymptotic behavior and stability of solutions to Cauchy problems for integrable partial differential equations, including the Novikov equation, MCH equation, short-pulse equation, and NLS-type equations. She has published multiple SCI papers in journals such as Adv. Math., J. Lond. Math. Soc., Math. Z., J. Differential Equations, and Sci. China Math. He has led research projects including a National Natural Science Foundation of China (NSFC) Young Scientist Grant (Category C), an NSFC Theoretical Physics Special Project, a Postdoctoral Research Grant, and funding from Shanghai's “Super Postdoctoral” Incentive Program.

Faculty and students are welcome to attend!

Invited by:  Jiaxing Huang

School of Mathematical Sciences

December 8, 2025