Conservative Fourier spectral scheme for the coupled Schrödinger-Boussinesq equations

DOI10.1186/s13662-018-1784-7zbMath1448.65188OpenAlexW2899439007MaRDI QIDQ1715489

Junjie Wang

Publication date: 4 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1784-7

zbMATH Keywords

convergenceconservation lawsSchrödinger-Boussinesq equationsconservative Fourier spectral method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

Analysis of the linearly energy- and mass-preserving finite difference methods for the coupled Schrödinger-Boussinesq equations, Conservative Fourier spectral scheme for higher order Klein-Gordon-Schrödinger equations, Linearized and decoupled structure‐preserving finite difference methods and their analyses for the coupled <scp>Schrödinger–Boussinesq</scp> equations, Efficient eighth‐order accurate energy‐preserving compact difference schemes for the coupled Schrödinger–Boussinesq equations, Conservative Fourier pseudo-spectral schemes for general Klein–Gordon–Schrödinger equations

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