【报告题目】Bilinear Bäcklund transformations for variable-coefficient soliton equations
【报 告 人】吕兴教授，北京交通大学
【报告时间】3月18日（周五）10:00
【腾讯会议ID】603 535 013
【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 canonical and cylindrical cases, and in the propagation of surface waves in large channels of varying width and depth with nonvanishing vorticity. Under investigation hereby is a generalized variable-coefficient two-dimensional KdV model with various external-force terms. With the extended bilinear method, this model is transformed into a variable-coefficient bilinear form, and then a Bäcklund transformation is constructed in bilinear form. Via symbolic computation, the associated inverse scattering scheme is simultaneously derived on the basis of the aforementioned bilinear Bäcklund transformation. Certain constraints on coefficient functions are also analyzed and finally some possible cases of the external-force terms are discussed.
【报告人简介】吕兴，教授、博士生导师，美国南佛罗里达大学访问学者，北京市青年教学名师。主要从事孤立子与非线性可积系统的研究，在Phys. Rev. E，J. Phys. A，J. Math. Phys.，Phys. Lett. A，Nonlinear Analysis:Real World Applications，Chaos等国际知名期刊发表论文100余篇，其中ESI高被引论文10余篇，2019-2021连续入选全球高被引科学家，先后主持国家自然科学基金项目1项、其它纵向项目2项，2019年获教育部高等学校科学研究优秀成果奖（自然科学）一等奖。
