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RESEARCH PRODUCT

Optimized Hermite-Gaussian ansatz functions for dispersion-managed solitons

A. B. MoubissiP. Tchofo DindaNakkeeran Kaliyaperumal

subject

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 physicsAnsatz

description

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.

https://abdn.pure.elsevier.com/en/en/researchoutput/optimized-hermitegaussian-ansatz-functions-for-dispersionmanaged-solitons(384fdd1e-99eb-437c-8597-4d47c30408f2).html