ON LINEARIZATION OF THE ERMAKOV SYSTEM

被引：53

作者：

ATHORNE, C

ROGERS, C

RAMGULAM, U

OSBALDESTIN, A

机构：

[1] LOUGHBOROUGH UNIV TECHNOL,DEPT MATH SCI,LOUGHBOROUGH LE11 3TU,LEICS,ENGLAND

[2] UNIV WATERLOO,DEPT APPL MATH,WATERLOO N2L 3G1,ONTARIO,CANADA

来源：

PHYSICS LETTERS A | 1990年 / 143卷 / 4-5期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/0375-9601(90)90740-F

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that the nonlinear Ermakov system may be reduced to consideration of a pair of linear equations. Geometric aspects of the procedure along with analytic results pertaining to its inversion are noted. Graphical results are presented for a particular Ermakov system that arises in two-layer long wave theory. © 1990.

引用

页码：207 / 212

页数：6

共 19 条

[1]

ERMAKOV VP, 1880, U IZV KIEV, V20, P1, DOI [DOI 10.2298/AADM0802123E, 10.2298/AADM0802123E]

[2] 2ND CONSTANT OF MOTION FOR GENERALIZED ERMAKOV SYSTEMS [J].