摘 要:The talk aims to discuss a practical procedure to model a kind of Riemann-Hilbert problems on the real axis for integrable equations based on their matrix spectral problems. An application is made for a system of multicomponent nonlinear Schroedinger equations associated with an arbitrary order matrix spectral problem, and its soliton solutions are explicitly computed through special Riemann-Hilbert problems with an identity jump matrix. 报告人简介:马文秀教授现任美国南佛罗里达大学数学终身教授,师从我国著名数学家谷超豪院士,曾在世界十几所著名大学如德国Kassel大学、法国Montpelier大学、英国Manchester大学、澳大利亚New England大学、加拿大Columbia大学等做高访学者。他的研究领域覆盖应用数学、数学物理、计算机符号计算等方向,特别是对孤立子与可积系统理论中对称、哈密尔顿结构和刘维尔可积性理论的发展作出了重要贡献。他先后在国内外知名学术杂志上发表论文200多篇,担任《Advances in Mathematical Physics 》等20多种国际著名科学杂志的编委,《Studies in Nonlinear Sciences》和《Journal of Applied Mathematics and Physics》杂志主编。 |