There is the widespread existence of wave phenomena in physics, chemistry and biology. This clearly necessitates a study of traveling waves in depth and of the modeling and analysis involved. In the present paper, we study the Fisher equation by means of the first integral method, which is based...

We study the percolation properties of the interacting classical dimer model on the square lattice by means of Monte Carlo simulations and finite-size scaling analysis. We define Ising clusters based on the dimer configuration; the percolation point of the clusters coincides with the critical...

This paper presents a framework to analyze the controllability of opinion dynamics in social networks using DeGroot model (DeGroot, 1974). We show how the opinion, or attitude about some common questions of interest in a population can be controlled by a committed node who consistently...

We present a class of collaboration networks, named cross-talk network of China (CTNC), in which two players are considered connected if they have performed one or more comic dialogues together. We study a variety of statistical properties of our networks, including degree distribution,...