Conformal structure‐preserving method for two‐dimensional damped nonlinear fractional Schrödinger equation

DOI10.1002/num.23005OpenAlexW4321371985MaRDI QIDQ6066578

Qiang Ma, Xiao-Hua Ding, Longbin Wu

Publication date: 13 December 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.23005

zbMATH Keywords

convergence analysisconservation lawsdamped nonlinear fractional Schrödinger equationconformal multisymplectic

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Soliton solutions (35C08) Fractional partial differential equations (35R11) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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