NEWTON REPRESENTATION OF NONLINEAR ORDINARY DIFFERENTIAL-EQUATIONS

被引：5

作者：

BLASZAK, M ^{[1
]}

RAUCHWOJCIECHOWSKI, S ^{[1
]}

机构：

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

来源：

PHYSICA A | 1993年 / 197卷 / 1-2期

关键词：

D O I：

10.1016/0378-4371(93)90467-I

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new parametrization for higher order ODE's is introduced. it turns them into a set of Newton equations. When applied to stationary flows of soliton equations, this parametrization leads to new integrable mechanical systems. In the KdV case we find a new Poisson bracket of 3rd order.

引用

页码：191 / 203

页数：13

共 5 条

[1] BI-HAMILTONIAN FORMULATION OF THE HENON HEILES SYSTEM AND ITS MULTIDIMENSIONAL EXTENSIONS [J].