TY - JOUR
T1 - Algebraic structures of generalised symmetries of n th-order scalar ordinary differential equations of maximal Lie point symmetry
AU - Charalambous, Kyriakos
AU - Leach, Peter G.L.
PY - 2015
Y1 - 2015
N2 - We compute for the representative scalar ordinary differential equation of maximal point symmetry the generalised symmetries of order-one and two. We examine the Lie Brackets for the generalised symmetries and see that closure does not occur for generalised symmetries of order-two. Consequently all generalised symmetries up to the maximum order possible must be admitted.
AB - We compute for the representative scalar ordinary differential equation of maximal point symmetry the generalised symmetries of order-one and two. We examine the Lie Brackets for the generalised symmetries and see that closure does not occur for generalised symmetries of order-two. Consequently all generalised symmetries up to the maximum order possible must be admitted.
KW - Algebraic structures
KW - Generalised symmetries
KW - Lie brackets
KW - Nth-order scalar ODEs
UR - http://www.scopus.com/inward/record.url?scp=84931375769&partnerID=8YFLogxK
U2 - 10.12785/amis/090309
DO - 10.12785/amis/090309
M3 - Article
AN - SCOPUS:84931375769
SN - 1935-0090
VL - 9
SP - 1175
EP - 1180
JO - Applied Mathematics and Information Sciences
JF - Applied Mathematics and Information Sciences
IS - 3
ER -