A linearly implicit conservative scheme for the fractional nonlinear Schrödinger equation with wave operator

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

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

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

A compact finite difference scheme for the nonlinear Schrödinger equation with wave operator

(2012) Xin Li et al.   APPLIED MATHEMATICS AND COMPUTATION

The global solution for a class of systems of fractional nonlinear Schrödinger equations with periodic boundary condition

(2011) Jiaqian Hu et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Crank–Nicolson method for the fractional diffusion equation with the Riesz fractional derivative

(2011) Cem Çelik et al.   JOURNAL OF COMPUTATIONAL PHYSICS

On the L∞ convergence of a difference scheme for coupled nonlinear Schrödinger equations

(2010) Zhi-zhong Sun et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

(2009) Q. Yang et al.   APPLIED MATHEMATICAL MODELLING

Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

(2009) P. Zhuang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Existence of the global smooth solution to the period boundary value problem of fractional nonlinear Schrödinger equation

(2008) Boling Guo et al.   APPLIED MATHEMATICS AND COMPUTATION