Restudy of the structures and interactions of the soliton in the asymmetric Nizhnik–Novikov–Veselov equation

Abstract

Some new exact solutions of the (2 + 1)-dimensional asymmetric Nizhnik–Novikov–Veselov equation are presented using the bilinear method. The solutions to describe the interactions between two dromions, between a line soliton and a y-periodic soliton, and between two y-periodic solitons are included in our results. The detailed behaviour of the interactions is illustrated both analytically and graphically. Our analysis shows that the forms of soliton solutions and interacting properties between two solitons are related to the forms of the parameters and interaction constants.