High-order compact finite difference scheme with two conserving invariants for the coupled nonlinear Schrödinger–KdV equations
DOI10.1080/10236198.2022.2091439zbMath1492.65237OpenAlexW4283593481MaRDI QIDQ5095232
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Publication date: 5 August 2022
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2022.2091439
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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Cites Work
- Convergence of a numerical scheme for a coupled Schrödinger-KdV system
- Numerical solutions of regularized long wave equation by Haar wavelet method
- Optimal \(l^\infty\) error estimates of finite difference methods for the coupled Gross-Pitaevskii equations in high dimensions
- On the \(L_\infty \) convergence of a difference scheme for coupled nonlinear Schrödinger equations
- Existence of bound states for the coupled Schrödinger-KdV system with cubic nonlinearity
- A meshless method for numerical solution of the coupled Schrödinger-KdV equations
- The finite element method for the coupled Schrödinger-KdV equations
- Two energy-conserving and compact finite difference schemes for two-dimensional Schrödinger-Boussinesq equations
- Well-posedness and existence of bound states for a coupled Schrödinger-gKdV system
- Homotopy perturbation method for coupled Schrödinger-KdV equation
- Comparison between the homotopy analysis method and homotopy perturbation method to solve coupled Schrödinger-KdV equation
- A note on diagonally dominant matrices
- Efficient schemes for the coupled Schrödinger-KdV equations: decoupled and conserving three invariants
- A conservative compact finite difference scheme for the coupled Schrödinger-KdV equations
- Multi-symplectic preserving integrator for the Schrödinger equation with wave operator
- The conservative and fourth-order compact finite difference schemes for regularized long wave equation
- New applications of variational iteration method
- Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator
- Well-posedness for the Schrödinger-Korteweg-de Vries system
- Dynamics of coupled solitons
- Finite-dimensional behavior of global attractors for weakly damped and forced kdv equations coupling with nonlinear schrödinger equations
- High Order Compact Multisymplectic Scheme for Coupled Nonlinear Schrödinger-KdV Equations
- 一维非线性Schrödinger 方程的两个无条件收敛的守恒紧致差分格式
- Conservative compact difference schemes for the coupled nonlinear schrödinger system
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