KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
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DOI：
10.1143/jpsj.50.3813
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发表时间：
1981-11
影响因子：
1.7
通讯作者：
E. Date;M. Jimbo;M. Kashiwara;T. Miwa
中科院分区：
文献类型：
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作者：
E. Date;M. Jimbo;M. Kashiwara;T. Miwa
在Kadomtsev-Petviashvili（KP）族的基础上，提出了一系列新的孤子方程族.与KP情形（它允许GL（∞）作为它的变换群）相反，这些新的层次被证明对应于O（∞）或Sp（∞）.构造了孤子解、有理解和拟周期解。
A series of new hierarchies of soliton equations are presented on the basis of the Kadomtsev-Petviashvili (KP) hierarchy. In contrast to the KP case, which admits GL( ∞) as its transformation group, these new hierarchies are shown to correspond to O( ∞) or Sp( ∞). Soliton, rational and quasi-periodic solutions are constructed.