Multisymplectic schemes for strongly coupled Schrödinger system

DOI10.1016/j.amc.2010.03.087zbMath1193.65212OpenAlexW2045864726MaRDI QIDQ983992

Jiaxiang Cai

Publication date: 13 July 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.087

zbMATH Keywords

numerical resultsnonlinear Schrödinger equationmultisymplectic structureEuler-box scheme

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (9)

A conservative spectral Galerkin method for the coupled nonlinear space-fractional Schrödinger equations ⋮ Decoupled conservative schemes for computing dynamics of the strongly coupled nonlinear Schrödinger system ⋮ A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations ⋮ A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations ⋮ A high-order nodal discontinuous Galerkin method for nonlinear fractional Schrödinger type equations ⋮ Structure preserving -- field directional splitting difference methods for nonlinear Schrödinger systems ⋮ A unified framework of high order structure-preserving B-splines Galerkin methods for coupled nonlinear Schrödinger systems ⋮ Conservative local discontinuous Galerkin methods for a generalized system of strongly coupled nonlinear Schrödinger equations. ⋮ A linearized, decoupled, and energy‐preserving compact finite difference scheme for the coupled nonlinear Schrödinger equations

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