醉月湖講座

主講者: Barbara Prinari (University of Colorado, Colorado Springs)
講題: Inverse scattering transform for a square matrix nonlinear Schrodinger equation with nonzero boundary conditions.
時間: 2018-01-08 (Mon.)  14:00 - 15:00
地點: 天文數學館2樓202教室
Abstract: In this talk we discuss the Inverse Scattering Transform (IST) under nonzero boundary conditions for a square matrix nonlinear Schrodinger equation which was proposed as a model to describe hyperfine spin F = 1 spinor Bose- Einstein condensates with either repulsive interatomic interactions and anti-ferromagnetic spin-exchange interactions, or attractive interatomic interactions and ferromagnetic spin-exchange interactions. We formulate the IST in terms of a suitable uniformization variable, which allows to define the direct and inverse problems on the complex plane, instead of a two-sheeted Riemann surface or the cut plane with discontinuities along the cuts. Finally, we discuss the soliton and rogue wave solutions for this system in the ferromagnetic case.
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