报告题目：     Soliton dynamics in the Korteweg-de Vries (KdV) equation with step-like boundary conditions
报 告 人：    罗旭丹
报告人所在单位：    中国科学院数学与系统科学研究院
报告日期：    2021-01-11 星期一
报告时间：    14:30--15:30
报告地点：    腾讯会议 ID: 875 673 248
      
报告摘要：    

The Korteweg-deVries (KdV) equation with step-like boundary conditions is considered, with an emphasis on soliton dynamics. When one or more initial solitons are of sufficient size, they can propagate through the step; in this case, the phase shift is calculated via the inverse scattering transform. On the other hand, when the amplitude is too small, they become trapped, and the corresponding eigenvalues of the Schrodinger equation are embedded in the continuous spectrum. The above results are confirmed numerically. For small dispersion, the above dynamics are described by perturbation theory. Our analytical results agree with laboratory experiments.

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本年度学院报告总序号：    15
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