Exact Solutions of Nonlocal Continuous and Semi-Discrete Matrix Nonlinear Schrödinger Equations
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In this paper, seven nonlocal matrix nonlinear Schrödinger (NLS) equations in continuous and semi-discrete cases are derived in the framework of bidifferential calculus. By making use of the direct method and reductions, different forms of exact solutions governed by Sylvester equation are obtained respectively in focusing and defocusing cases. Multisoliton solutions are listed in the Tables and rank one solutions are presented as illustrations.