A conservative spectral Galerkin method for the coupled nonlinear space-fractional Schrödinger equations

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

(2018) Meng Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

The locally extrapolated exponential splitting scheme for multi-dimensional nonlinear space-fractional Schrödinger equations

(2017) X. Liang et al.   NUMERICAL ALGORITHMS

Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations

(2016) Zhiping Mao et al.   APPLIED NUMERICAL MATHEMATICS

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

(2016) Maohua Ran et al.   Communications in Nonlinear Science and Numerical Simulation

Mass-conservative Fourier spectral methods for solving the fractional nonlinear Schrödinger equation

(2016) Siwei Duo et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Split-step alternating direction implicit difference scheme for the fractional Schrödinger equation in two dimensions

(2016) Pengde Wang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Efficient spectral–Galerkin methods for fractional partial differential equations with variable coefficients

(2016) Zhiping Mao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Galerkin finite element method for nonlinear fractional Schrödinger equations

(2016) Meng Li et al.   NUMERICAL ALGORITHMS

A high-accuracy preserving spectral Galerkin method for the Dirichlet boundary-value problem of variable-coefficient conservative fractional diffusion equations

(2015) Hong Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Spectral direction splitting methods for two-dimensional space fractional diffusion equations

(2015) Fangying Song et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An energy conservative difference scheme for the nonlinear fractional Schrödinger equations

(2015) Pengde Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Finite difference method for time-space-fractional Schrödinger equation

(2014) Qun Liu et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

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

(2014) Dongling Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A conservative linearized difference scheme for the nonlinear fractional Schrödinger equation

(2014) Pengde Wang et al.   NUMERICAL ALGORITHMS

A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

(2014) Fanhai Zeng et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

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

(2014) Xuan Zhao et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Soliton dynamics for fractional Schrödinger equations

(2013) Simone Secchi et al.   APPLICABLE ANALYSIS

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

(2013) Dongling Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Ground state solutions for nonlinear fractional Schrödinger equations in RN

(2013) Simone Secchi   JOURNAL OF MATHEMATICAL PHYSICS

On the Continuum Limit for Discrete NLS with Long-Range Lattice Interactions

(2012) Kay Kirkpatrick et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Fractional Gagliardo–Nirenberg and Hardy inequalities under Lorentz norms

(2012) Hichem Hajaiej et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Bound state for the fractional Schrödinger equation with unbounded potential

(2012) Ming Cheng   JOURNAL OF MATHEMATICAL PHYSICS

Global Well-Posedness for the Fractional Nonlinear Schrödinger Equation

(2010) Boling Guo et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Oceanic Rogue Waves

(2008) Kristian Dysthe et al.   Annual Review of Fluid Mechanics