The coupled inhomogeneous nonlinear Schrödinger-type system which can be used to control soliton propagation and interaction in certain plasmas and optical fibers is investigated. An improved method for Darboux transformation (DT) is presented in more general forms by constructing an improved...

The inhomogeneous nonlinear Schrödinger-type (NLS) model from certain plasmas and optical fibers is investigated with symbolic computation. An improved Γ-Riccati Bäcklund transformation (Γ-R BT) is presented, which can generate successively a hierarchy of solutions through algebraic...

Motivated by social and biological interactions, a novel type of phase transition model is provided in order to investigate the emergence of the clustering phenomenon in networks. The model has two types of interactions: one is attractive and the other is repulsive. In each iteration, the phase...

The small-world property, vertices are highly clustered yet the path length between them is small, has been widely studied in unweighted graphs. In many real-world networks, the connections have associated weights that represent the strength of the interactions among vertices. This important...

This paper focuses on human behavior in web surfing during the special stage called Flash Crowd (FC) period. Some statistical properties of human behavior are investigated. A moving approximate entropy (ApEn) method is provided to precisely locate the FC stage at first. Then the multiscale...

With the rapid development of the Internet and the promotion of mobile Internet, microblogs have become a major source and route of transmission for public opinion, including burst topics that are caused by emergencies. To facilitate real time mining of a large range of burst topics, in this...