Regularized splitting spectral method for space-fractional logarithmic Schrödinger equation
type: Item
instance of: scholarly article
title: Regularized splitting spectral method for space-fractional logarithmic Schrödinger equation
zbMATH Open document ID: 1471.35255
author: Bianru Cheng
author: Zhenhua Guo
published in: Applied Numerical Mathematics
publication date: 2021-06-22T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 81Q10
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65T50
zbMATH DE Number: 7361714
zbMATH Keywords: fractional logarithmic Schrödinger equation
zbMATH Keywords: splitting spectral method
zbMATH Keywords: convergence rate
MaRDI profile type: Publication
full work available at URL: j.apnum.2021.05.003
OpenAlex ID: W3163563819
cites work: On a class of homogeneous nonlinear Schrödinger equations
cites work: Orbital stability of Gausson solutions to logarithmic Schr\"odinger equations
cites work: On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation
cites work: Existence and stability of standing waves for nonlinear fractional Schrödinger equation with logarithmic nonlinearity
cites work: Uniform error estimates of finite difference methods for the nonlinear Schrödinger equation with wave operator
cites work: Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation
cites work: Gaussons: Solitons of the Logarithmic Schrödinger Equation
cites work: Some mathematical problems in a neoclassical theory of electric charges
cites work: A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations
cites work: Regularized numerical methods for the logarithmic Schrödinger equation
cites work: Error Estimates of a Regularized Finite Difference Method for the Logarithmic Schrödinger Equation
cites work: On the conservation of fractional nonlinear Schrödinger equation's invariants by the local discontinuous Galerkin method
cites work: Stable solutions of the logarithmic Schrödinger equation
cites work: Équations d'évolution avec non linéarité logarithmique
cites work: Q5569065
cites work: A Space-Time Finite Element Method for the Nonlinear Schrödinger Equation: The Continuous Galerkin Method
cites work: Fractional quantum mechanics and Lévy path integrals
cites work: Numerical solution of the regularized logarithmic Schrödinger equation on unbounded domains
cites work: Ten equivalent definitions of the fractional Laplace operator
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Fractional logarithmic Schrödinger equations
cites work: On the Construction and Comparison of Difference Schemes
cites work: Spectral Methods
cites work: Oscillatory motion in confined potential systems with dissipation in the context of the Schrödinger-Langevin-Kostin equation
cites work: An introduction to Sobolev spaces and interpolation spaces
cites work: From the long jump random walk to the fractional Laplacian
cites work: A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations
cites work: Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative
cites work: Maximum-norm error analysis of a difference scheme for the space fractional CNLS
cites work: An energy conservative difference scheme for the nonlinear fractional Schrödinger equations
cites work: Point-wise error estimate of a conservative difference scheme for the fractional Schrödinger equation
cites work: Existence of the global solution for fractional logarithmic Schrödinger equation
DOI: 10.1016/J.APNUM.2021.05.003
description: scientific article; zbMATH DE number 7361714