利用齐次平衡法研究变系数强迫Burgers方程,得到了该方程的多孤立波解。用图形分析方法对孤立波之 间的相互作用进行分析,观察到了在非均匀介质中及强迫项作用下形成的特殊扭结孤立波相互作用而产 生的合并与分裂等新现象。合并(分裂)之后的特殊扭结孤立波可以继续振荡传播,也可以不振荡也不 传播,还可以在原位置振荡但不传播。

The multiple solitary wave solutions of a variable coefficient forced Burgers equation were obtained by using homogeneous balance method. The graphic analysis method is used to analyze the interactions among the special kink solitary waves. Some new phenomena were observed, such as merger and split due to the interactions among kink solitary waves which are arisen under the forced effects in the inhomogeneous media. The results show that the merged (or split) special kink solitary waves can continue to oscillate and propagate, or neither oscillate nor propagate, or oscillate in the original position but not propagate.