LAX REPRESENTATION FOR RESTRICTED FLOWS OF THE KDV HIERARCHY AND FOR THE KEPLER-PROBLEM

被引：20

作者：

ANTONOWICZ, M ^{[1
]}

RAUCHWOJCIECHOWSKI, S ^{[1
]}

机构：

[1] LINKOPING UNIV,DEPT MATH,S-58183 LINKOPING,SWEDEN

来源：

PHYSICS LETTERS A | 1992年 / 171卷 / 5-6期

关键词：

D O I：

10.1016/0375-9601(92)90648-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive a spectral parameter dependent 2 x 2 matrix Lax pair for restricted flows of the KdV hierarchy. Explicit formulas are given for the Neumann, Gamier and the KdV (m = 2) restricted system. A simple generalization provides Lax pairs for the Jacobi and Neumann families of integrable potentials and for all spherically symmetric potentials. In particular the Lax representation for the Kepler problem is found

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页码：303 / 310

页数：8

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