VIRTUAL SEMINAR SERIES -- INTEGRABLE SYSTEMS: nverse scattering transform and soliton solutions for certain matrix nonlinear Schrodinger equations

Barbara Prinari (University at Buffalo)

Wednesday 30th June 13:30-14:30 Zoom seminar hosted by ICMS

Abstract

We will discuss the Inverse Scattering Transform (IST), solitons and soliton interactions, and rogue wave solutions for certain matrix nonlinear Schrodinger (NLS) equations. The class of equations includes the focusing and defocusing matrix NLS equations introduced by Wadati in 2004 in the context of spinor systems, and two reductions of the matrix NLS which are the analog of the modified Manakov system with mixed signs of the nonlinear coefficients, i.e., a nonlinearity in the norm which is of Minkowski type, instead of Euclidean type.  

 

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