Structure-preserving scheme for one dimension and two dimension fractional KGS equations

DOI10.3934/nhm.2023019OpenAlexW4316193186MaRDI QIDQ6186116

Liangliang Zhai, Yaping Zhang, Junjie Wang

Publication date: 2 February 2024

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2023019

zbMATH Keywords

convergenceconservation lawfractional Klein-Gordon-Schrödinger equationshigh central difference schemescalar auxiliary variable scheme

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Error bounds for numerical methods for ordinary differential equations (65L70)

Cites Work

• Unnamed Item
• Point-wise error estimate of a conservative difference scheme for the fractional Schrödinger equation
• Global well-posedness of the fractional Klein-Gordon-Schrödinger system with rough initial data
• Semi-explicit symplectic partitioned Runge-Kutta Fourier pseudo-spectral scheme for Klein-Gordon-Schrödinger equations
• Global solutions of the Klein-Gordon-Schrödinger system with rough data.
• Riesz potential operators and inverses via fractional centred derivatives
• Explicit multi-symplectic methods for Klein-Gordon-Schrödinger equations
• Attractor for dissipative Klein-Gordon-Schrödinger equations in \(\mathbb{R}^3\)
• The exact solitary wave solutions for the Klein-Gordon-Schrödinger equations
• Convergence of a conservative difference scheme for a class of Klein-Gordon-Schrödinger equations in one space dimension
• On the continuum limit for discrete NLS with long-range lattice interactions
• Conservative Fourier spectral method and numerical investigation of space fractional Klein-Gordon-Schrödinger equations
• Optimal point-wise error estimate of a compact difference scheme for the Klein-Gordon-Schrödinger equation
• Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian
• High-order conservative schemes for the space fractional nonlinear Schrödinger equation
• Fractional centered difference scheme for high-dimensional integral fractional Laplacian
• Symplectic scheme for the Schrödinger equation with fractional Laplacian
• Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations
• An efficient conservative difference scheme for fractional Klein-Gordon-Schrödinger equations
• The Fractional Laplacian
• A Conservative Difference Scheme for Space Fractional Klein-Gordon-Schrödinger Equations with a High-Degree Yukawa Interaction
• High-order conservative scheme for the coupled space fractional nonlinear Schrödinger equations
• A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation
• Symplectic‐preserving Fourier spectral scheme for space fractional<scp>Klein–Gordon–Schrödinger</scp>equations

This page was built for publication: Structure-preserving scheme for one dimension and two dimension fractional KGS equations