The wave-operator nonlinear Schrödinger equation was introduced in the literature. Further,
nonlocal space–time reverse complex field equations were also recently introduced. Studies …

This paper is devoted to the study of high-order finite difference scheme for the nonlinear
Schrödinger equation with wave operator. The difference scheme is three level and a five …

In this paper, three energy preserving numerical methods are proposed, including the Crank–
Nicolson Galerkin–Legendre spectral (CN–GLS) method, the SAV Galerkin–Legendre …

Based on the invariant energy quadratization approach, we propose a linear implicit and
local energy preserving scheme for the nonlinear Schrödinger equation with wave operator …

In this paper, two novel conservative relaxation methods are developed for the space-
fractional nonlinear Schrödinger equation. The first type of relaxation scheme adopts the …

This paper is devoted to the unconditional optimal error analysis of a linearized, decoupled
and conservative Galerkin finite element method (FEM) for the Klein–Gordon–Schödinger …

A fully discrete finite element method with a Gauss collocation in time is proposed for solving
the nonlinear Schrödinger equation with a wave operator in the d-dimensional torus, d∈{1 …

Abstract Du Fort–Frankel-type finite difference methods (DFFT-FDMs) are famous for good
stability and easy implementation. In this study, by a perfect combination of the classical …

The solution of a nonlinear hyperbolic Schrödinger equation (NHSE) is proposed in this
paper using the Haar wavelet collocation technique (HWCM). The central difference …

This paper aims to consider the energy-preserving finite element method (FEM) for the
general nonlinear Schrödinger equation with wave operator. Optimal error estimates and …