学术报告
Soliton solution to the nonlocal NLS and coupled NLS equations with zero and nonzero boundary conditions - 冯宝峰教授 (德克萨斯大学数学与统计学院)
题目:Soliton solution to the nonlocal NLS and coupled NLS equations with zero and nonzero boundary conditions
报告人: 冯宝峰教授 (德克萨斯大学数学与统计学院)
Abstract: We consider general soliton solution to a nonlocal nonlinear Schrodinger (NLS) equation and coupled NLS equation for both zero and nonzero boundary conditions. Based on the combination of Hirota's bilinear method and the Kadomtsev-Petviashvili (KP) hierarchy reduction method, we firstly construct general N-soliton solution for zero boundary condition starting from the tau functions of the two-component KP hierarchy. Then, from the tau functions of the single component KP hierarchy, we construct general soliton solutions to the nonlocal NLS and coupled NLS equations with nonzero boundary conditions.
时间:5月24日(周四)下午2:30-3:30
地点:首都师大新教2楼 613 教室
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