NEWTON REPRESENTATION FOR STATIONARY FLOWS OF THE KDV HIERARCHY

被引：15

作者：

RAUCHWOJCIECHOWSKI, S

机构：

[1] Department of Mathematics, Linköping University

来源：

PHYSICS LETTERS A | 1992年 / 170卷 / 02期

关键词：

D O I：

10.1016/0375-9601(92)90778-K

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce a new parametrization for stationary flows of the KdV hierarchy which turns them into a set of Newton equations. In the case of a fifth order KdV flow the equivalence with the integrable case of the Henon-Heiles system leads to a bi-Hamiltonian formulation of the corresponding Newton equations. A simple generalization of its second Poisson bracket yields a new family of integrable potentials in two dimensions.

引用

页码：91 / 94

页数：4

共 9 条

[1] RESTRICTED FLOWS OF SOLITON HIERARCHIES - COUPLED KDV AND HARRY-DYM CASE [J].