Multi-symplectic preserving integrator for the Schrödinger equation with wave operator

DOI10.1016/J.APM.2015.01.068zbMath1443.65144arXiv1410.8624OpenAlexW2080887413MaRDI QIDQ2285803

Linghua Kong, Xiaohong Zheng, Liying Zhang, Wenying Zhou, Lan Wang

Publication date: 9 January 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.8624

zbMATH Keywords

conservation lawsSchrödinger equation with wave operatormulti-symplectic integrator

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (8)

Multisymplectic structure-preserving scheme for the coupled Gross–Pitaevskii equations ⋮ Multi-symplectic variational integrators for the Gross-Pitaevskii equations in BEC ⋮ High-order compact finite difference scheme with two conserving invariants for the coupled nonlinear Schrödinger–KdV equations ⋮ Pointwise second order convergence of structure-preserving scheme for the triple-coupled nonlinear Schrödinger equations ⋮ A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator ⋮ An exponential wave integrator Fourier pseudospectral method for the nonlinear Schrödinger equation with wave operator ⋮ An energy-momentum conserving scheme for Hamiltonian wave equation based on multiquadric trigonometric quasi-interpolation ⋮ High-order structure-preserving Du Fort-Frankel schemes and their analyses for the nonlinear Schrödinger equation with wave operator

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