Soliton Solutions of Integrable Hierarchies and Coulomb Plasmas
Soliton Solutions of Integrable Hierarchies and Coulomb Plasmas
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可积层次和库仑等离子体的孤子解
DOI：
10.1023/a:1018635310742
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发表时间：
1999
影响因子：
1.6
通讯作者：
V. Spiridonov
中科院分区：
文献类型：
--
作者：
I. Loutsenko;V. Spiridonov
给出了平面上可积层次的孤子解与库仑等离子体的热力学量之间的一些直接关系。我们发现Kadomtsev-Petviashvili （KP）和b型KP （BKP）层次的某些孤子解描述了在特定边界条件和固定温度下的二维单组分或双组分晶格等离子体。证明了二维空间中嵌入一维子流形上的纯或偶极库仑气体可以用不同的可积层次约简来描述。
Some direct relations are given between soliton solutions of integrable hierarchies and thermodynamic quantities of the Coulomb plasmas on the plane. We find that certain soliton solutions of the Kadomtsev–Petviashvili (KP) and B-type KP (BKP) hierarchies describe 2D one- or two-component lattice plasmas at special boundary conditions and fixed temperatures. It is shown that different reductions of integrable hierarchies describe pure or dipole Coulomb gases on 1D submanifolds embedded in the 2D space.