Dark solitary waves in the nonlinear Schrödinger equation with third order dispersion, self-steepening, and self-frequency shift

S. L. Palacios; A. Guinea; J. M. Fernández-Díaz; R. D. Crespo

doi:10.1103/PhysRevE.60.R45

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Dark solitary waves in the nonlinear Schrödinger equation with third order dispersion, self-steepening, and self-frequency shift

S. L. Palacios, A. Guinea, J. M. Fernández-Díaz, and R. D. Crespo

Phys. Rev. E 60, R45(R) – Published 1 July 1999

Abstract

We solve the higher order nonlinear Schrödinger equation describing the propagation of ultrashort pulses in optical fibers. By means of the coupled amplitude-phase formulation fundamental (solitary wave) dark soliton solutions are found.

Received 12 April 1999

DOI:https://doi.org/10.1103/PhysRevE.60.R45

Authors & Affiliations

S. L. Palacios^*, A. Guinea, J. M. Fernández-Díaz, and R. D. Crespo

Departamento de Física, Facultad de Ciencias, Universidad de Oviedo, C/Calvo Sotelo s/n, Oviedo E-33007, Spain

^*FAX: (34) 985 10 3324. Electronic address: sergio@pinon.ccu.uniovi.es

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Issue

Vol. 60, Iss. 1 — July 1999

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics