(2+1)维Broer-Kaup方程的局域相干结构

利用推广的齐次平衡方法,研究了(2+1)维BroerKaup方程的局域相干结构.首先根据领头项分析,给出了这个模型的一个变换,并把它变换成一个线性化的方程,然后由具有两个任意函数的种子解构造出它的一个精确解,发现(2+1)维BroerKaup方程存在相当丰富的局域相干结构.合适的选择这些任意函数,一些特殊型的多dromion解,多lump解,振荡型dromion解,圆锥曲线孤子解,运动和静止呼吸子解和似瞬子解被得到.孤子解不仅可以存在于直线孤子的交叉点上,也可以存在于曲线孤子的交叉点或最临近点上.呼吸子在幅度和形状上都进行了呼吸.本方法直接而简单,可推广应用一大类(2+1)维非线性物理模型. 关键词： 浙江师范大学非线性物理研究室 金华321004 浙江海洋学院物理系 舟山316004

Localized coherent structures of the (2+1) dimensional Broer-Kaup equations

The linearization form of (2+1) dimensional Broer Kaup equations is established by using the improved homogeneous balance method. Starting from this lineaization form of the equation, a variable separation solution with the entrance of some arbitrary functions is obtained, and the very rich localized coherent structures are revealed. Some special types of the dromion solutions, breathers, instantons and ring soliton solutions are discussed by appropriately selecting arbitrary functions. The dromion solutions can be driven by some sets of straight line and curved line ghost solitons. These solutions may be located not only at the cross points of the lines, but also at closed points of the curves,. The breather may breath both in amplitude and in shape.