学术报告 报告题目：Bilinear Backlund transformations for variable-coefficient soliton equations
报 告 人：吕兴 副教授 （北京交通大学）
报告时间：2016年1月21日（周四）下午15：30-16：30
报告地点：4号楼4232室
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数学学院
2016年01月19日
报告摘要：
The variable-coefficient two-dimensional Korteweg-de Vries (KdV) model is of considerable significance in describing many physical situations such as in the canonical and cylindrical cases, propagation of surface waves in large channels of varying width and depth with nonvanishing vorticity, etc. Under investigation hereby is a generalized variable-coefficient two-dimensional KdV model with various external-force terms. With bilinear method extended, this model is transformed into a variable-coefficient bilinear form, and then a Backlund transformation is constructed in bilinear form. Via symbolic computation, the associated inverse scattering scheme is simultaneously derived on the basis of the aforementioned bilinear Backlund transformation. Certain constraints on coefficient functions are also analyzed and finally some possible cases of the external-force terms are discussed as well.
报告人简介：
吕兴博士，1982年生，北京交通大学理学院数学系副教授，主要从事孤子理论与可积系统、计算机符号计算等方面的研究。主持国家自然科学基金、中国博士后基金。在SCI核心期刊杂志 Physical Review E, Chaos,Journal of Mathematical Physics ,Applied Mathematics Letters，Journal of Mathematical Analysis and Applications,等发表论文六十余篇，其中一篇入选近十年ESI高被引用论文。