6533b86efe1ef96bd12cca70
RESEARCH PRODUCT
Optimized Hermite-Gaussian ansatz functions for dispersion-managed solitons
A. B. MoubissiP. Tchofo DindaNakkeeran Kaliyaperumalsubject
PhysicsHermite polynomialsBasis (linear algebra)business.industryGaussianAtomic and Molecular Physics and OpticsElectronic Optical and Magnetic MaterialsPulse (physics)symbols.namesakeNonlinear Sciences::Exactly Solvable and Integrable SystemsOpticsSimple (abstract algebra)Quantum mechanicssymbolsSolitonElectrical and Electronic EngineeringPhysical and Theoretical ChemistrybusinessRepresentation (mathematics)Nonlinear Sciences::Pattern Formation and SolitonsMathematical physicsAnsatzdescription
Abstract By theoretical analysis, we show that the usual procedure of simply projecting the dispersion-managed (DM) soliton profile onto the basis of an arbitrary number of Hermite-gaussian (HG) polynomials leads to relatively accurate ansatz functions, but does not correspond to the best representation of DM solitons. Based on the minimization of the soliton dressing, we present a simple procedure, which provides highly accurate representation of DM solitons on the basis of a few HG polynomials only.
year | journal | country | edition | language |
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2001-01-01 |