数学与系统科学研究院

计算数学所学术报告会

报告人：       Prof. Baofeng Feng

                 University of Texas-Pan, USA

报告题目：

Discrete breather in Fermi-Pasta-Ulam atomic chain

报告摘要：

  Discrete breathers (DBs), or intrinsic localized modes (ILMs) occupy a unique position in nonlinear waves and coherent structures. In this talk, we attempt to study the fundamental properties of discrete breathers in Fermi- Pasta-Ulam chain from two approaches. First, we will derive a quasi-continuum model equation, obtain its stationary and moving solutions, and further compare them with discrete breathers in lattices. Second, we will investigate a reduced three particle system. By a principal axis transformation, we will show the integrability of the system, and give exact periodic solutions in terms of the Jacobi elliptic functions. The significance of these findings lies in the fact that a close relationship between the third invariant, or the angular momentum, of the reduced system and the movability of discrete breathers is clarified.

报告时间： 2005年7月27日(周三) 下午4:30--5:30

报告地点：科技综合楼三层311报告厅

          欢迎大家参加!