Localized coherent structures based on variable separation solution of the (2+1)-dimensional Boiti-Leon-Pempinelli equation

摘要

A new mapping equation (coupled Riccati equations) method is used to obtain three kinds of variable separation solutions with two arbitrary functions of the (2+1)-dimensional Boiti-Leon-Pempinelli equation. Based on the variable separation solution and by selecting appropriate functions, two type of multidromion excitations, that is, dromion lattice and multidromion solitoffs, are investigated. Moreover, we can discuss head-on collision and chase and collision phenomena between two multidromions.