“…An infinitesimal transformation is applied as an operator on itself and, both functions ξ and η defined in (9), must satisfy the following equality [11]: η xx + (2η xy − ξ xx )ý +(η yy − 2ξ xy )ý2 − ξ yy ý3 + (η y − 2ξ x − 3ξ y ý)ω = ω x + ηω y + ((η x − ξ x )ý− ξ y ý2) ω ý (12) Subsequently, ξ and η can be calculated by decomposed [3][4][5][6] into a system of partial differential equations. The following Lie symmetries which including rotation, translation and scaling was considered to calculate ξ and η. ξ = C 1 + C 2 x + C 3 y η = C 4 + C 5 x + C 6 y (13)…”