# Inverse scattering transform and soliton solutions for a square matrix nonlinear Schrödinger equation with nonzero boundary conditions

@inproceedings{Prinari2017InverseST, title={Inverse scattering transform and soliton solutions for a square matrix nonlinear Schr{\"o}dinger equation with nonzero boundary conditions}, author={Barbara Prinari}, year={2017} }

- Published 2017

The inverse scattering transform (IST) with non-zero boundary conditions at infinity is presented for a matrix nonlinear Schrödinger-type equation which has been proposed as a model to describe hyperfine spin F = 1 spinor Bose-Einstein condensates with either repulsive interatomic interactions and antiferromagnetic spin-exchange interactions (self-defocusing case), or attractive interatomic interactions and ferromagnetic spin-exchange interactions (self-focusing case). Both the direct and the… CONTINUE READING

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