Optical solitary waves in the higher order nonlinear Schrödinger equation Academic Article uri icon

abstract

  • 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. Comment: REVTeX, 4 pages, no figures. To appear in Phys. Rev. Lett

publication date

  • January 1, 1997