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    关于举办“The reduction method by the KP hierarchy”学术报告的通知

    作者: 发布日期:2019-05-06 浏览次数:

      德克萨斯大学格兰德谷分校终身教授冯宝峰博士于2019年5月9日前来我校访问理学院张瑞明教授,并在百忙之中为我校广大师生作题为《The reduction method by the KP hierarchy》的学术报告,欢迎广大师生踊跃参加。

    时间:2019年5月9日(周四)下午3点

    地点:理科楼A213

    英文摘要:

    The reduction method by the KP hierarchy Baofeng Feng School of Mathematical and Statistical Sciences University of Texas Rio Grande Valley Edinburg,TX, 78539-2999 U.S.A. ABSTRACT In this talk, we will firstly outline Hirota’s bilinear method and the Kadomtsev-Petviashvili (KP) theory for integrable systems, i.e., a class of exactly solvable partial differential equations (PDEs). We will reveal the unified algebraic structure underlying the continuous and discrete integrable systems via showing how to generate Hirota’s bilinear equations for the whole KP hierarchy and how to prove their general solutions, the so-called tau functions. Then, we will show how the general solitons to several typical soliton equations such as the KdV equation and the NLS equation can be obtained via the reduction method of the KP hierarchy.

    冯宝峰教授简介:

      冯宝峰博士是德克萨斯大学格兰德谷分校终身教授。他在中国清华大学获得物理和数学学士学位,在京都大学获得博士学位。冯博士的研究兴趣包括数学物理方程及理论光学。冯博士在Phys. Rev. E, Physica D, J. Phys. A, Nonlinearity, Studies in App. Math and J. Comp. Phys.等一流学术期刊上发表了70多篇高水平的研究文章。目前,冯博士的研究是由美国国家自然科学基金项目(编号DMS-1715991)资助。

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