The KP hierarchy with self–consistent sources: construction, Wronskian solutions and bilinear identities
The KP hierarchy with self–consistent sources: construction, Wronskian solutions and bilinear identities
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DOI：
10.1088/1742-6596/538/1/012014
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发表时间：
2014-10
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通讯作者：
Runliang Lin;Xiaojun Liu;Yunbo Zeng
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文献类型：
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作者：
Runliang Lin;Xiaojun Liu;Yunbo Zeng
在本文中，我们将介绍我们的一些结果孤子族与自洽源（SHSCS）。Kadomtsev-Petviashvili（KP）层次结构将被用作一个说明性的例子来展示的方法来构建SHSCS。本文还将给出具有自洽源的KP方程族的一些性质，如Dressing方法、Wronskian解（包括孤子解）、双线性恒等式和τ函数。
In this paper, we will present some of our results on the soliton hierarchy with self–consistent sources (SHSCSs). The Kadomtsev–Petviashvili (KP) hierarchy will be used as an illustrative example to show the method to construct the SHSCSs. Some properties of the KP hierarchy with self–consistent sources will also be given, such as the dressing approach, the Wronskian solutions (including soliton solutions), its bilinear identities and the tau function.