Searching for Higher Dimensional Integrable Models from Lower Ones via Painlevé Analysis
Searching for Higher Dimensional Integrable Models from Lower Ones via Painlevé Analysis
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DOI：
10.1103/physrevlett.80.5027
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发表时间：
1998-06
影响因子：
8.6
通讯作者：
S. Lou
中科院分区：
文献类型：
--
作者：
S. Lou
将Painleve方法推广到更一般的形式，人们可以从一个给定的低维可积模型中得到无限多的新的可积模型，它们具有共形不变性和任意空间维的Painleve性质。以Kadomtsev-Petviashvili方程、非线性Schrodinger方程和施瓦茨Korteweg-de弗里斯方程为例，给出了311维的显式可积模型. [S0031-9007（98）06288-7]
Extending the Painleve approach to a more general form, one can get infinitely many new integrablemodels under the meanings that they possess conformal invariance and the Painleve property in anyspace dimensions from a given lower dimensional integrable model. Using the Kadomtsev-Petviashvili,nonlinear Schrodinger, and Schwarz Korteweg–de Vries equations as simple examples, some explicits3 1 1d-dimensional integrable models are given. [S0031-9007(98)06288-7]