ERMAKOV SYSTEMS, NON-LINEAR SUPERPOSITION, AND SOLUTIONS OF NON-LINEAR EQUATIONS OF MOTION

被引：128

作者：

REID, JL

RAY, JR

机构：

[1] Department of Physics and Astronomy, Clemson University, Clemson

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1980年 / 21卷 / 07期

关键词：

D O I：

10.1063/1.524625

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We report several important additions to our original discussion of Ermakov systems. First, we show how to derive the Ermakov system from more general equations of motion. Second, we show that there is a general nonlinear superposition law for Ermakov systems. Also, we give explicit examples of the nonlinear superposition law. Finally, we point out that any ordinary differential equation can be included in many Ermakov systems. © 1980 American Institute of Physics.

引用

页码：1583 / 1587

页数：5

共 10 条

[1]

Ames WF., 1978, NONLINEAR EQUATIONS, P43

[2]

BANDIC I, 1967, B MATH SOC SCI MATH, V11, P6

[3] SECOND-ORDER DIFFERENTIAL EQUATIONS: CONDITIONS OF COMPLETE INTEGRABILITY [J].