Efficient schemes for the coupled Schrödinger-KdV equations: decoupled and conserving three invariants

DOI10.1016/j.aml.2018.06.038zbMath1412.65163OpenAlexW2873317174MaRDI QIDQ1726459

Chuanzhi Bai, Jiaxiang Cai, Haihui Zhang

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.06.038

zbMATH Keywords

Hamiltonian systemstructure-preserving algorithmdiscrete gradient methoddecoupled schemeSchrödinger-KdV equation

Mathematics Subject Classification ID

Related Items (4)

Efficient energy-preserving exponential integrators for multi-component Hamiltonian systems ⋮ High-order compact finite difference scheme with two conserving invariants for the coupled nonlinear Schrödinger–KdV equations ⋮ Efficient schemes for the damped nonlinear Schrödinger equation in high dimensions ⋮ High-order Runge-Kutta structure-preserving methods for the coupled nonlinear Schrödinger-KdV equations

Cites Work

• Convergence of a numerical scheme for a coupled Schrödinger-KdV system
• A meshless method for numerical solution of the coupled Schrödinger-KdV equations
• The finite element method for the coupled Schrödinger-KdV equations
• Numerical studies on a novel split-step quadratic B-spline finite element method for the coupled Schrödinger-KdV equations
• Hamiltonian-conserving discrete canonical equations based on variational difference quotients
• On the stability of symplectic and energy-momentum algorithms for nonlinear Hamiltonian systems with symmetry
• Petrov-Galerkin method for the coupled Schrödinger-KdV equation
• Preserving energy resp. dissipation in numerical PDEs using the ``Average Vector Field method
• Dynamics of coupled solitons
• A new class of energy-preserving numerical integration methods
• Geometric Numerical Integration

This page was built for publication: Efficient schemes for the coupled Schrödinger-KdV equations: decoupled and conserving three invariants