Local energy-preserving algorithms for nonlinear fourth-order Schrödinger equation with trapped term
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Publication:1734741
DOI10.1016/j.amc.2016.10.011zbMath1411.65106OpenAlexW2532898048MaRDI QIDQ1734741
Jiaxiang Cai, Bin Yang, Hua Liang
Publication date: 27 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2016.10.011
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55)
Cites Work
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- Some new structure-preserving algorithms for general multi-symplectic formulations of Hamiltonian PDEs
- The cubic fourth-order Schrödinger equation
- Local structure-preserving algorithms for partial differential equations
- Finite-difference solutions of a non-linear Schrödinger equation
- The solution of nonlinear Schrödinger equations using orthogonal spline collocation
- Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
- Symplectic and multi-symplectic methods for the nonlinear Schrödinger equation
- Symplectic integrator for nonlinear high order Schrödinger equation with a trapped term
- Local energy-preserving and momentum-preserving algorithms for coupled nonlinear Schrödinger system
- Multi-symplectic Runge-Kutta-Nyström methods for nonlinear Schrödinger equations with variable coefficients
- Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients
- Novel Multi-symplectic Integrators for Nonlinear Fourth-order Schrödinger Equation with Trapped Term