High-order conservative scheme for the coupled space fractional nonlinear Schrödinger equations

DOI10.1080/00207160.2021.1925889zbMath1499.65451OpenAlexW3158182837MaRDI QIDQ5063470

Junjie Wang, Liangliang Zhai

Publication date: 21 March 2022

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

Full work available at URL: https://doi.org/10.1080/00207160.2021.1925889

zbMATH Keywords

convergenceconservation lawCrank-Nicolson schemefractional nonlinear Schrödinger equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) 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) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

CMMSE: analysis and comparison of some numerical methods to solve a nonlinear fractional Gross-Pitaevskii system ⋮ Structure-preserving scheme for one dimension and two dimension fractional KGS equations

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