IJSRP, Volume 5, Issue 1, January 2015 Edition [ISSN 2250-3153]
Ismail Mustafa Mohammed, Mohammed Ali Bashir
We introduce the concept of a symmetry group of a system of partial differential equations and group-invariant solutions to PDE . Given any system of partial differential equations, it is shown how, in principle, to construct group invariant solutions for any group of transformations by reducing the number of variables in the system. Conversely, every solution of the system can be found using the reduction method with some weak symmetry group.