Special Bi-Solitons for Asymmetric Nizhnik-Novikov-Veselov Equation

Employing a constructive algorithm and the symbolic computation, we obtain a new explicit bi-soliton-like solution of the asymmetric Nizhnik-Novikov-Veselov equation. The solution contains two arbitrary functions which indicates that it can model various bi-soliton-like waves. In particular, specially choosing the arbitrary functions, we find some interesting bi-solitons with special shapes, which possess the traveling property of the traditional bi-solitons. We show the evolution of such bi-solitons by figures. (general)