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THE RIEMANN PROBLEM METHOD FOR SOLVING A PERTURBED NONLINEAR SCHRODINGER-EQUATION DESCRIBING PULSE-PROPAGATION IN OPTIC FIBERS

MIHALACHE, D; PANOIU, NC; MOLDOVEANU, F; BABOIU, DM; (1994) THE RIEMANN PROBLEM METHOD FOR SOLVING A PERTURBED NONLINEAR SCHRODINGER-EQUATION DESCRIBING PULSE-PROPAGATION IN OPTIC FIBERS. J PHYS A-MATH GEN , 27 (18) 6177 - 6189.

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Abstract

We used the Riemann problem method with a 3 x 3 matrix system to find the femtosecond single soliton solution for a perturbed nonlinear Schrodinger equation which describes bright ultrashort pulse propagation in properly tailored monomode optical fibres. Compared with the Gel'fand-Levitan-Marchenko approach, the major advantage of the Riemann problem method is that it provides the general single soliton solution in a simple and compact form. Unlike the standard nonlinear Schrodinger equation, here the single soliton solution exhibits periodic evolution patterns.

Type: Article
Title: THE RIEMANN PROBLEM METHOD FOR SOLVING A PERTURBED NONLINEAR SCHRODINGER-EQUATION DESCRIBING PULSE-PROPAGATION IN OPTIC FIBERS
Keywords: SELF-FREQUENCY SHIFT, DISPERSIVE DIELECTRIC FIBERS, INVERSE SCATTERING TRANSFORM, FEMTOSECOND SOLITONS, ANOMALOUS DISPERSION, DARK PULSES, PERTURBATIONS, TRANSMISSION, WAVELENGTH, SYSTEMS
UCL classification: UCL > School of BEAMS > Faculty of Engineering Science > Electronic and Electrical Engineering
URI: http://discovery.ucl.ac.uk/id/eprint/142283
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