2+1维Nizhnik-Novikov-Veselov方程中孤子相互作用的探索

Study on soliton interaction in the 2+1-dimensional Nizhnik-Novikov-Veselov equation

利用分离变量法得到了 2 + 1维Nizhnik Novikov Veselov方程包含三个任意函数的精确解 .合适地选择任意函数 ,该精确解可以是描述所有方向指数局域的dromion相互作用 ,三个方向指数局域的‘Solitoff’和dromion相互作用以及线孤子和y周期孤子相互作用的解 .对dromion相互作用从解析和几何两个角度进行了详细地探讨 。

A variable separation approach is used to obtain exact solutions of the Nizhnik-Novikov-Veselov equation. One of the exact solutions of this model is analysed to study the interaction between two dromions, dromion and 'solitoff' both analytically and graphically. Some new interacting properties are reaveled.