 
Summary: Group classification, optimal system and optimal
reductions of a class of Klein Gordon equations
H. Azad1
, M. T. Mustafa1
and M. Ziad2
1
Department of Mathematics and Statistics,
King Fahd University of Petroleum and Minerals,
Dhahran 31261, Saudi Arabia
hassanaz@kfupm.edu.sa, tmustafa@kfupm.edu.sa
2
Department of Mathematics and Statistics, College of Science,
Sultan Qaboos University, Sultanate of Oman
mziad@squ.edu.om
Abstract
Complete symmetry analysis is presented for nonlinear Klein Gordon equations
utt = uxx + f(u). A group classification is carried out by finding f(u) that
give larger symmetry algebra. Onedimensional optimal system is determined
for symmetry algebras obtained through group classification. The subalgebras in
onedimensional optimal system and their conjugacy classes in the corresponding
