This paper is concerned with partitioned N th-order accurate split-operator schemes built
using M distinct solution operators for semidiscrete equations of the form …

In this review we collect some recent achievements in the accurate and efficient solution of
the Nonlinear Schrödinger Equation (NLSE), with the preservation of its Hamiltonian …

Recently an interesting new class of PDE integrators, multisymplectic schemes, has been
introduced for solving systems possessing a certain multisymplectic structure. Some of the …

Based on the multi-symplecticity of the Schrödinger equations with variable coefficients, we
give a multi-symplectic numerical scheme, and investigate some conservative properties …

This paper introduces a novel symplectic wavelet collocation method for solving nonlinear
Hamiltonian wave equations. Based on the autocorrelation functions of Daubechies …

In this paper, we develop a novel multi-symplectic wavelet collocation method for solving
multi-symplectic Hamiltonian system with periodic boundary conditions. Based on the …

We consider for the integration of coupled nonlinear Schrödinger equations with periodic
plane wave solutions a splitting method from the class of symplectic integrators and the multi …

We propose, analyze and compare the efficiency and accuracy of different numerical
schemes for the solution of the nonlinear Schrödinger equation with a trapping potential. In …

We consider finite-difference approximations of the planar Darcy convection problem and
study the effect of different discretizations with respect to preservation of cosymmetry. The …

An integrable nonlinear Schrödinger system on a triangular-lattice ribbon, whose geometric
configuration is similar to that of armchair boron nanotube, is studied in detail. The system …