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变系数强迫Burgers方程的多孤立波解及孤立波的相互作用

, PP. 31-36

Keywords: 非线性方程,多孤立波解,齐次平衡法,变系数强迫Burgers方程,相互作用

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Abstract:

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。

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