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

Authors
GOVINDER KS LEACH PGL
Citation
Ks. Govinder et Pgl. Leach, SOLUTION OF THE NONLINEAR DIFFERENTIAL-EQUATION Y''+P(X)Y=Q(M)(X) Y(2M-1)/, Transactions of the Royal Society of South Africa, 49, 1994, pp. 175-184
Citations number
26
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Transactions of the Royal Society of South Africa → ACNP
ISSN journal
0035919X
Volume
49
Year of publication
1994
Part
2
Pages
175 - 184
Database
ISI
SICI code
0035-919X(1994)49:<175:SOTNDY>2.0.ZU;2-Z
Abstract
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.