The AKNS system, short for the Ablowitz-Kaup-Newell-Segur system, refers to a well-known integrable system of nonlinear partial differential equations (PDEs) that arises in the context of fluid dynamics, optics, and other fields in applied mathematics and mathematical physics. The AKNS system is typically associated with the nonlinear Schrödinger equation and can be represented in a matrix form.
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