SOLUTION OF THE NONLINEAR DIFFERENTIAL-EQUATION Y''+P(X)Y=Q(M)(X)/Y(2M-1)

被引：0

作者：

GOVINDER, KS ^{[1
]}

LEACH, PGL ^{[1
]}

机构：

[1] UNIV WITWATERSRAND,CTR NONLINEAR STUDIES,JOHANNESBURG,SOUTH AFRICA

来源：

TRANSACTIONS OF THE ROYAL SOCIETY OF SOUTH AFRICA | 1994年 / 49卷

关键词：

D O I：

10.1080/00359199409520305

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A wider class of solutions to the nonlinear differential equation y(n) + p (x) y = q(m) (x)/y(2m-1) than that given by Reid is obtained. In the process the relationships between Kummer-Liouville transformations and generalized canonical transformations and autonomous Hamiltonian systems and Lie point symmetries are uncovered.

引用

页码：175 / 184

页数：10

共 26 条

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