Symbolic computation of solitons in the normal dispersion regime of inhomogeneous optical fibres

Journal Article · Thu Jun 30 04:00:00 EDT 2011 · Quantum Electronics (Woodbury, N.Y.)

DOI:https://doi.org/10.1070/QE2011V041N06ABEH014437· OSTI ID:21552664

Wenjun, Liu; Bo, Tain; Min, Li; Yan, Jiang; Qixing, Qu; Pan, Wang; Kun, Sun ^[1]

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1. School of Science, Beijing University of Posts and Telecommunications, Beijing (China)

A nonlinear Schroedinger equation with varying dispersion, nonlinearity and gain (or absorption) is studied for ultrashort optical pulses propagating in inhomogeneous optical fibres in the case of normal dispersion. Using the modified Hirota method and symbolic computation, the bilinear form and analytic soliton solution are derived. Stable bright and dark solitons are observed in the normal dispersion regime. A periodically varying soliton and compressed soliton without any fluctuation are obtained. Combined and kink-shaped solitons are observed. Possibly applicable soliton control techniques, which are used to design dispersion-managed systems, are proposed. The proposed techniques may find applications in soliton management communication links, soliton compression and soliton control. (solitons)

• OSTI ID: 21552664
• Journal Information: Quantum Electronics (Woodbury, N.Y.), Journal Name: Quantum Electronics (Woodbury, N.Y.) Journal Issue: 6 Vol. 41; ISSN 1063-7818
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ABSORPTION
AMPLIFICATION
ANALYTICAL SOLUTION
CALCULATION METHODS
COMMUNICATIONS
COMPRESSION
CONTROL
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
EQUATIONS
FIBERS
GAIN
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
OPTICAL FIBERS
PARTIAL DIFFERENTIAL EQUATIONS
PERIODICITY
PULSES
QUASI PARTICLES
SCHROEDINGER EQUATION
SOLITONS
SORPTION
VARIATIONS
WAVE EQUATIONS