THE QUASI-CLASSICAL LIMIT OF THE MODIFIED KP HIERARCHY

被引：36

作者：

KUPERSHMIDT, BA ^{[1
]}

机构：

[1] INST ADV STUDY,SCH MATH,PRINCETON,NJ 08540

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 06期

关键词：

D O I：

10.1088/0305-4470/23/6/013

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the quasiclassical limit, the MKP hierarchy and its Lax representation turn into a modified Benney hierarchy and its Poisson representation. A Miura map is constructed, and shown to be canonical, from the modified Benney hierarchy into the unmodified one. The modified hierarchy is given both hydrodynamical and kinetic representations, and the Miura map is given a kinetic form. Explicit combinatorial formulae are proved for the infinite number of conserved densities of the modified Benney hierarchy.

引用

页码：871 / 886

页数：16

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