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 non-linear Klein Gordon equations
utt = uxx + f(u). A group classification is carried out by finding f(u) that
give larger symmetry algebra. One-dimensional optimal system is determined
for symmetry algebras obtained through group classification. The subalgebras in
one-dimensional optimal system and their conjugacy classes in the corresponding

Source: Azad, Hassan - Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals

Collections: Mathematics