Conservative higher-order finite difference scheme for the coupled nonlinear Schrödinger equations
DOI10.1016/j.cnsns.2023.107797OpenAlexW4390331713MaRDI QIDQ6203009
Yongbin Ge, Sheng-en Liu, Shuaikang Wang
Publication date: 27 February 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2023.107797
PDEs in connection with optics and electromagnetic theory (35Q60) 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) Extrapolation to the limit, deferred corrections (65B05) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
- Unnamed Item
- 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
- New conservative difference schemes for a coupled nonlinear Schrödinger system
- A linearly implicit conservative scheme for the coupled nonlinear Schrödinger equation
- On Tsertvadze's difference scheme for the Kuramoto-Tsuzuki equation
- Numerical approximation of solution for the coupled nonlinear Schrödinger equations
- Conservative local discontinuous Galerkin methods for a generalized system of strongly coupled nonlinear Schrödinger equations.
- Numerical solution of coupled nonlinear Schrödinger equations on unbounded domains
- Analysis of a symplectic difference scheme for a coupled nonlinear Schrödinger system
- On convergence and stability of a numerical scheme of coupled nonlinear Schrödinger equations
- Numerical analysis of a multi-symplectic scheme for a strongly coupled Schrödinger system
- A Fokas approach to the coupled modified nonlinear Schrödinger equation on the half‐line
- A novel energy-preserving scheme for the coupled nonlinear Schrödinger equations
- Highly accurate finite difference method for coupled nonlinear Schrödinger equation
- Stability of solitary waves for coupled nonlinear schrödinger equations
- Numerical analysis of a new conservative scheme for the coupled nonlinear Schrödinger equations
- Efficient energy‐preserving scheme of the three‐coupled nonlinear Schrödinger equation
- A linearized, decoupled, and energy‐preserving compact finite difference scheme for the coupled nonlinear Schrödinger equations
- Conservative compact difference schemes for the coupled nonlinear schrödinger system
- The Propagation of Nonlinear Wave Envelopes
- Efficient energy-preserving eighth-order compact finite difference schemes for the sine-Gordon equation