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ANALYTIC METHOD FOR SOLVING THE NONLINEAR SCHRODINGER-EQUATION DESCRIBING PULSE-PROPAGATION IN DISPERSIVE OPTIC FIBERS

MIHALACHE, D; PANOIU, NC; (1993) ANALYTIC METHOD FOR SOLVING THE NONLINEAR SCHRODINGER-EQUATION DESCRIBING PULSE-PROPAGATION IN DISPERSIVE OPTIC FIBERS. J PHYS A-MATH GEN , 26 (11) 2679 - 2697.

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Abstract

We give a method for obtaining new exact solutions of the nonlinear Schrodinger equation describing pulse propagation in optical fibres for both the anomalous and the normal dispersion regime. The method is based on the construction of a certain complete integrable finite-dimensional dynamical system whose solution determines the exact solutions of the nonlinear Schrodinger equation. By using the phase diagrams associated with the corresponding nonlinear differential equations we classify all the obtained solutions into one of the following categories: bright or dark solitary waves, bright or dark soliton solutions, rational (algebraic) bright or dark solitons, regular or singular periodic waves and stationary solutions.We give a set of particular solutions which describe the periodic wave patterns that are generated by the temporal self-phase modulation instability, the periodic evolution of bright solitons on a continuous wave background and the collision of two dark waves with equal amplitudes.

Type: Article
Title: ANALYTIC METHOD FOR SOLVING THE NONLINEAR SCHRODINGER-EQUATION DESCRIBING PULSE-PROPAGATION IN DISPERSIVE OPTIC FIBERS
Keywords: INVERSE SCATTERING TRANSFORM, DOPED FIBER AMPLIFIERS, MODULATIONAL INSTABILITY, DIELECTRIC FIBERS, QUANTUM-THEORY, WAVE SOLUTIONS, DARK SOLITON, TRANSMISSION, APPROXIMATION, POLARIZATION
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
URI: http://discovery.ucl.ac.uk/id/eprint/142297
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