nonlinear Schrödinger equation

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nonlinear Schrödinger equation [¦nän‚lin·ē·ər ′shrād·iŋ·ər i‚kwā·zhən]

(optics)

A special form into which the Maxwell equations can be transformed in a medium with an optical nonlinearity that gives rise to self-action effects; this equation resembles the Schrödinger equation of quantum mechanics with the potential term in the latter equation replaced by a nonlinear term proportional to the local intensity of the light field, and it possesses soliton solutions.

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