Exact Solutions and Localized Structures for Higher-Dimensional Burgers Systems

Exact Solutions and Localized Structures for Higher-Dimensional Burgers Systems
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高维汉堡系统的精确解决方案和局部结构

DOI:
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发表时间:
2009
影响因子:
1.2
通讯作者:
Yan
Yan
中科院分区:
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文献类型:
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作者:
Yan

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用奇异流形方法研究了一维Burgers方程和耦合的高维Burgers系统。获得贝克兰德变换。给出了一些有趣的精确解。然后发现了局域结构,例如德罗米子和孤子,并对它们的相互作用特性进行了数值研究。首次报道了两个德罗子子(德罗子子和孤子)的融合现象。
A dimensional Burgers equation and a coupled higher dimensional Burgers system is studied by the singular manifold method. The Backlund transformations are obtained. Some interesting exact solutions are given. Then localized structures, such as dromion and solitoff, are found, and their interaction properties are numerically studied. The fusion phenomena of two dromions, a dromion and a solitoff, are for the first time reported.