An efficient Fourier spectral exponential time differencing method for the space-fractional nonlinear Schrödinger equations

DOI10.1016/j.camwa.2018.03.042zbMath1419.65083OpenAlexW2795387349WikidataQ115580763 ScholiaQ115580763MaRDI QIDQ2001356

Xiao Liang, Abdul Q. M. Khaliq

Publication date: 3 July 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.03.042

zbMATH Keywords

exponential time differencingfractional LaplacianFourier spectral methodfractional nonlinear Schrödinger equations

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (9)

A linearized conservative Galerkin-Legendre spectral method for the strongly coupled nonlinear fractional Schrödinger equations ⋮ Symmetry breaking of spatial Kerr solitons in fractional dimension ⋮ Error estimates of structure‐preserving Fourier pseudospectral methods for the fractional Schrödinger equation ⋮ An energy-preserving and efficient scheme for a double-fractional conservative Klein-Gordon-Zakharov system ⋮ A numerically efficient and conservative model for a Riesz space-fractional Klein-Gordon-Zakharov system ⋮ Conservative Fourier spectral method and numerical investigation of space fractional Klein-Gordon-Schrödinger equations ⋮ High-order conservative schemes for the space fractional nonlinear Schrödinger equation ⋮ Efficient exponential time-differencing methods for the optical soliton solutions to the space-time fractional coupled nonlinear Schrödinger equation ⋮ Galerkin–Legendre spectral method for the distributed-order time fractional fourth-order partial differential equation

Uses Software

• ma2dfc

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