Adiabatic exponential midpoint rule for the dispersion-managed nonlinear Schrödinger equation

DOI10.1093/IMANUM/DRY045zbMath1496.65142OpenAlexW2883307109WikidataQ115539002 ScholiaQ115539002MaRDI QIDQ5243257

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Publication date: 18 November 2019

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/dry045

zbMATH Keywords

discontinuous coefficientsnonlinear Schrödinger equationerror boundsdispersion managementlimit dynamicsnorm conservationhighly oscillatory problemadiabatic integrator

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (3)

Numerical Integrators for Dispersion-Managed KdV Equation ⋮ Numerical methods for some nonlinear Schrödinger equations in soliton management ⋮ On numerical methods for the semi-nonrelativistic limit system of the nonlinear Dirac equation

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