Novel Multi-symplectic Integrators for Nonlinear Fourth-order Schrödinger Equation with Trapped Term

DOI10.4208/cicp.2009.09.057zbMath1364.65165OpenAlexW2026720924MaRDI QIDQ5268696

Jialin Hong, Linghua Kong

Publication date: 20 June 2017

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.2009.09.057

zbMATH Keywords

conservation lawsplit-step methodFourier spectral methodmulti-symplectic schemeSchrödinger equation with trapped term

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (13)

Multisymplectic structure-preserving scheme for the coupled Gross–Pitaevskii equations ⋮ Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations ⋮ Multi-symplectic simulation on soliton-collision for nonlinear perturbed Schrödinger equation ⋮ Conservative Conforming and Nonconforming Vems for Fourth Order Nonlinear Schrödinger Equations with Trapped Term ⋮ Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC ⋮ Local energy-preserving algorithms for nonlinear fourth-order Schrödinger equation with trapped term ⋮ Conservative modified Crank-Nicolson and time-splitting wavelet methods for modeling Bose-Einstein condensates in delta potentials ⋮ Derivation of the multisymplectic Crank-Nicolson scheme for the nonlinear Schrödinger equation ⋮ High-order compact splitting multisymplectic method for the coupled nonlinear Schrödinger equations ⋮ Multi-symplectic splitting method for the coupled nonlinear Schrödinger equation ⋮ Splitting multisymplectic integrators for Maxwell's equations ⋮ Multi-symplectic preserving integrator for the Schrödinger equation with wave operator ⋮ Multisymplectic method for the Camassa-Holm equation

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