报告题目：Binary Darboux transformations for matrix AKNS and NLS systems, and degenerate solutions of the Lyapunov equation

报告人：叶如梭博士，温州大学

报告时间：2024年9月12日（周四）14:00-16:00

报告地点：20-306；腾讯会议：535-886-7378

报告摘要：We derive binary Darboux transformations for matrix AKNS systems from a general result of bi-differential calculus, and consider corresponding reductions to matrix NLS systems. A crucial ingredient of these solution-generating methods is a Sylvester equation. Whereas typically soliton solutions are generated on the assumption that a condition known as “spectrum condition” holds, it had been observed by Manas that dark solitons in the defocusing NLS case correspond to “degenerate” solutions of the Lyapunov equation, where the spectrum condition is violated. We establish corresponding results for matrix versions of the NLS equation.

报告人简介：叶如梭，温州大学数理学院。博士毕业于浙江师范大学，主要从事可积系统中的非线性波理论和应用方面的研究。