Numerical simulation of a nonlinearly coupled Schrödinger system: A linearly uncoupled finite difference scheme

DOI10.1016/j.matcom.2008.03.017zbMath1202.65116OpenAlexW2055846154MaRDI QIDQ960360

Fangqi Chen, Tao Nie, Lu-Ming Zhang, Ting-chun Wang

Publication date: 17 December 2008

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2008.03.017

zbMATH Keywords

stabilityconvergencenumerical examplessolitonssystemconservative finite difference schemenonlinear coupled Schrödinger equationsuncoupled scheme

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)

Related Items (10)

An efficient split-step compact finite difference method for the coupled Gross–Pitaevskii 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 ⋮ Numerical simulation of a generalized nonlinear derivative Schrödinger equation ⋮ Unconditional \(L_\infty\) convergence of a compact ADI scheme for coupled nonlinear Schrödinger system ⋮ Conservative compact difference schemes for the coupled nonlinear schrödinger system ⋮ Maximum norm error bound of a linearized difference scheme for a coupled nonlinear Schrödinger equations ⋮ Lobatto IIIA-IIIB discretization of the strongly coupled nonlinear Schrödinger equation ⋮ Multisymplectic schemes for strongly coupled Schrödinger system ⋮ Optimal error estimates of explicit finite difference schemes for the coupled Gross–Pitaevskii equations

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