In this paper, we derive an efficient spectral collocation algorithm to solve numerically the
nonlinear complex generalized Zakharov system (GZS) subject to initial-boundary …

In this paper, a multi-symplectic Hamiltonian formulation is presented for the coupled
Schrödinger—Boussinesq equations (CSBE). Then, a multi-symplectic scheme of the CSBE …

In this paper, we propose a conformal momentum-preserving method to solve a damped
nonlinear Schrödinger (DNLS) equation. Based on its damped multi-symplectic formulation …

The energy preserving average vector field (AVF) method is applied to the coupled
Schrödinger—KdV equations. Two energy preserving schemes are constructed by using …

In this paper, we mainly propose two kinds of high-accuracy schemes for the coupled
nonlinear Schrödinger (CNLS) equations, based on the Fourier pseudospectral method …

We derive a new method for a coupled nonlinear Schrödinger system by using the square of
first-order Fourier spectral differentiation matrix D 1 instead of traditional second-order …

Abstract The Zakharov–Kuznetsov equation is considered, which is an equation describing
two dimensional weakly nonlinear ion-acoustic waves in plasma. We focus on using the …

In this paper, we propose a wavelet collocation splitting (WCS) method, and a Fourier
pseudospectral splitting (FPSS) method as comparison, for solving one-dimensional and …

In this paper, we present a multi-symplectic Hamiltonian formulation of the coupled
Schrödinger-KdV equations (CSKE) with periodic boundary conditions. Then we develop a …

We propose multisymplectic implicit and explicit Fourier pseudospectral methods for the
Klein—Gordon—Schrödinger equations. We prove that the implicit method satisfies the …