中文摘要：

多线性分离变量法已成功地应用于诸多（2＋1）维非线性可积系统.将该方法拓展运用于（3＋1）维破碎孤子方程中,获得了含任意函数的变量分离解.通过适当地设定任意函数的形式,得到了（3＋1）维破碎孤子方程丰富的局域激发模式.

英文摘要：

The multilinear variable separation approach is a widely applied and quite successful way to investigate localized coherent structures of （2＋1）- dimensional nonlinear integrable systems. In this paper, the multilinear variable separation method to a （3＋ 1）-dimensional breaking soliton equation is applied. As a result, two arbitrary functions are included in this solutions which lead to some interesting localized coherent structures of a （3＋1）-dimensional breaking soliton equation.