RT journal article
T1 Exact solutions and Riccati-type first integrals
A1 Mendoza, J.
A1 Muriel Patino, María Concepción
A2 Matemáticas
K1 λ−symmetry
K1 Sundman transformation
K1 Riccati-type first integral
AB The λ-symmetry approach is applied to a family of second-order ODEs whose algebra of Lie point symmetries is insufficient to integrate them. The general solution and two functionally independent first integrals of a subclass of the studied equations can be expressed in terms of a fundamental set of solutions of a related second-order linear ordinary differential equation. Remarkably, no equation in the family passes the Lie’s test of linearisation, although all of them can be linearised by generalised Sundman transformations. Several examples, including equations lacking Lie point symmetries, illustrate the presented procedure.
PB Taylor and Francis Ltd.
SN 1776-0852
YR 2017
FD 2017
LK http://hdl.handle.net/10498/33935
UL http://hdl.handle.net/10498/33935
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026