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Modulation instability in an extended nonlinear Schrödinger equation

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Abstract

The modulation instability of an extended nonlinear Schrödinger equation was investigated. It was found that the odd-order higher dispersion [β3] does not contribute to the modulation-instability frequency. The time derivative of the nonlinearity was included and shown to affect the instability. Finally, nonlinear retardation effects are shown to alter the results significantly.

© 1987 Optical Society of America

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