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Optical Solitary Waves in the Higher Order Nonlinear Schrodinger Equation

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arxiv patt-sol/9612004 v1 pith:JU43BWDK submitted 1996-12-25 patt-sol nlin.PSnlin.SIsolv-int

M. Gedalin , T.C. Scott , Y.B. Band This is my paper · ORCID
classification patt-solnlin.PSnlin.SIsolv-int
keywords equationconditionssolitarysolutionshighernonlinearopticalorder
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We study solitary wave solutions of the higher order nonlinear Schrodinger equation for the propagation of short light pulses in an optical fiber. Using a scaling transformation we reduce the equation to a two-parameter canonical form. Solitary wave (1-soliton) solutions exist provided easily met inequality constraints on the parameters in the equation are satisfied. Conditions for the existence of N-soliton solutions (N>1) are determined; when these conditions are met the equation becomes the modified KdV equation. A proper subset of these conditions meet the Painleve plausibility conditions for integrability.

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