This study presents numerical simulations of generalized two‐dimensional (2D) and three‐
dimensional (3D) Klein–Gordon–Zakharov (KGZ) equations with power law nonlinearity …

In this paper, two semidiscrete low regularity exponential-type integrators are proposed and
analyzed for the “good” Boussinesq equation, including a first-order integrator and a second …

A multiscale time integrator sine pseudospectral (MTI-SP) method is presented for
discretizing the Klein–Gordon–Zakharov (KGZ) system with a dimensionless parameter 0< …

In this article, we formulate an efficient and accurate numerical method for approximations of
the coupled Schrödinger–Boussinesq (SBq) system. The main features of our method are …

In this paper, we develop a framework to construct energy-preserving methods for multi-
component Hamiltonian systems, combining the exponential integrator and the partitioned …

We introduce two exponential-type integrators for the “good” Boussinesq equation. They are
of orders one and two, respectively, and they require lower spatial regularity of the solution …

We propose and compare numerically spatial/temporal resolution of various efficient
numerical methods for solving the Klein–Gordon–Dirac system (KGD) in the nonrelativistic …

In this paper, we propose a time fourth-order exponential wave integrator (EWI) Fourier
pseudo-spectral method for solving the nonlinear Dirac equation with periodic boundary …

The main aim of this paper is to propose a Galerkin finite element method (FEM) for solving
the Klein–Gordon–Zakharov (KGZ) equations with power law nonlinearity, and to give the …

In this article, a trigonometric integrator sine pseudo-spectral (TISP) method is presented for
the extended Fisher–Kolmogorov equation. This method depends on a Gautschi-type …