Pointwise second order convergence of structure-preserving scheme for the triple-coupled nonlinear Schrödinger equations

DOI10.1016/j.camwa.2023.11.002MaRDI QIDQ6144208

Zhi-Qiang Liu, Unnamed Author, Yexiang Wu, Linghua Kong

Publication date: 5 January 2024

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

zbMATH Keywords

convergenceconservation lawCrank-Nicolson schemestructure-preserving schemetriple-coupled 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

• Existence and uniqueness of positive solutions to three coupled nonlinear Schrödinger equations
• Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions
• Maximum norm error bound of a linearized difference scheme for a coupled nonlinear Schrödinger equations
• On the \(L_\infty \) convergence of a difference scheme for coupled nonlinear Schrödinger equations
• An energy-preserving Crank-Nicolson Galerkin spectral element method for the two dimensional nonlinear Schrödinger equation
• The three-component defocusing nonlinear Schrödinger equation with nonzero boundary conditions
• Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation
• Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrödinger equation
• High-order linearly implicit structure-preserving exponential integrators for the nonlinear Schrödinger equation
• Multi-symplectic preserving integrator for the Schrödinger equation with wave operator
• Compact and efficient conservative schemes for coupled nonlinear <scp>S</scp>chrödinger equations
• Numerical solution of nonlinear Schrödinger equation by using time-space pseudo-spectral method
• Symplectic Geometric Algorithms for Hamiltonian Systems
• Efficient energy‐preserving scheme of the three‐coupled nonlinear Schrödinger equation
• Numerical Study of Quantized Vortex Interactions in the Nonlinear Schrödinger Equation on Bounded Domains
• Uniform and Optimal Error Estimates of an Exponential Wave Integrator Sine Pseudospectral Method for the Nonlinear Schrödinger Equation with Wave Operator
• Geometric Numerical Integration
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