Nonlinear systems with periodic variations of nonlinearity and/or dispersion occur in a
variety of physical problems and engineering applications. The mathematical concept of …

Two classes of efficient and robust schemes are proposed for the general multi-symplectic
Hamiltonian systems using the invariant energy quadratization (IEQ) approach. The …

Exploring the dynamic behaviors of the damping nonlinear Schrödinger equation (NLSE)
with periodic perturbation is a challenge in the field of nonlinear science, because the …

Solving the structure prediction problem for complex proteins is difficult and computationally
expensive. In this paper, we propose a bicriterion parallel hybrid genetic algorithm (GA) in …

Several recently developed multisymplectic schemes for Hamiltonian PDEs have been
shown to preserve associated local conservation laws and constraints very well in long time …

In this paper, we develop symplectic and multi-symplectic wavelet collocation methods to
solve the two-dimensional nonlinear Schrödinger equation in wave propagation problems …

A hierarchical hybrid model of parallel metaheuristics is proposed, combining an
evolutionary algorithm and an adaptive simulated annealing. The algorithms are executed …

We develop two classes of general-purpose second-order integrators for the general multi-
symplectic Hamiltonian system by incorporating a scalar auxiliary variable. Unlike the …

The time dependent spectral renormalization (TDSR) method was introduced by Cole and
Musslimani as a novel way to numerically solve initial boundary value problems. An …

Although Runge–Kutta and partitioned Runge–Kutta methods are known to formally satisfy
discrete multisymplectic conservation laws when applied to multi-Hamiltonian PDEs, they do …