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Solution of a Nonlinear Schrödinger Equation

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The nonlinear Schrödinger equation can be applied to describe nonlinear systems such as fiber optics, water waves, quantum condensates, nonlinear acoustics, and many others. This Demonstration solves the specific case of a soliton profile perturbed by a periodic potential.

Contributed by: Enrique Zeleny (May 2012)
Based on a program by: Stephen Wolfram and Rob Knapp
Open content licensed under CC BY-NC-SA

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The nonlinear Schrödinger equation has the general form

.

In this Demonstration we consider an inhomogeneous modified form

,

where is the solution range.

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