Efficient exponential time-differencing methods for the optical soliton solutions to the space-time fractional coupled nonlinear Schrödinger equation

DOI10.1155/2021/5575128zbMath1477.65138OpenAlexW3159196664WikidataQ115521556 ScholiaQ115521556MaRDI QIDQ2036039

Xiao Liang, Bo Tang

Publication date: 28 June 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/5575128

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11)

Uses Software

• ma2dfc

Cites Work

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• Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
• Matrix approach to discrete fractional calculus. II: Partial fractional differential equations
• An efficient Fourier spectral exponential time differencing method for the space-fractional nonlinear Schrödinger equations
• New approaches for the solution of space-time fractional Schrödinger equation
• Numerical analysis for time-fractional Schrödinger equation on two space dimensions
• Highly accurate global Padé approximations of generalized Mittag-Leffler function and its inverse
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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