High-order schemes for the fractional coupled nonlinear Schrödinger equation (Q6186145)

scientific article; zbMATH DE number 7798666

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English	High-order schemes for the fractional coupled nonlinear Schrödinger equation	scientific article; zbMATH DE number 7798666

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instance of

scholarly article

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title

High-order schemes for the fractional coupled nonlinear Schrödinger equation (English)

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Networks and Heterogeneous Media

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publication date

2 February 2024

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Mathematics Subject Classification ID

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fractional coupled Schrödinger equation

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multiple quadratic auxiliary variable approach

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.3934/nhm.2023063

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OpenAlex ID

W4380854381

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cites work

A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator

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Arbitrarily high-order structure-preserving schemes for the Gross-Pitaevskii equation with angular momentum rotation

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High-order structure-preserving algorithms for the multi-dimensional fractional nonlinear Schrödinger equation based on the SAV approach

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Fully Discrete Second-Order Linear Schemes for Hydrodynamic Phase Field Models of Binary Viscous Fluid Flows with Variable Densities

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Global Well-Posedness for the Fractional Nonlinear Schrödinger Equation

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Structure-preserving Gauss methods for the nonlinear Schrödinger equation

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A Sixth Order Averaged Vector Field Method

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A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations

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Galerkin finite element method for nonlinear fractional Schrödinger equations

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Unconditional error analysis of Galerkin FEMs for nonlinear fractional Schrödinger equation

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The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing

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A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations

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A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

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Numerical study of the soliton waves of the coupled nonlinear Schrödinger system

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Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative

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A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations

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Maximum-norm error analysis of a difference scheme for the space fractional CNLS

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A conservative linearized difference scheme for the nonlinear fractional Schrödinger equation

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Structure-preserving numerical methods for the fractional Schrödinger equation

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Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schrödinger equation

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Symplectic scheme for the Schrödinger equation with fractional Laplacian

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Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

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A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation

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mardi Publication:6186145