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Soliton dynamics in the Korteweg-de Vries (KdV) equation with step boundary conditions.
时间  Datetime
2018-12-25 14:00 — 15:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Xudan Luo
单位  Affiliation
State University of New York at Buffalo
邀请人  Host
Guofu Yu
报告摘要  Abstract

The Korteweg-deVries equation with step type boundary conditions is considered, with an emphasis on soliton dynamics. Solitons and continuous spectra are always present together. Solitons can pass through a step, in this case, the phase shift is calculated. Solitons can also become trapped, in this case, 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 analytically.