A Lie Symmetry Classification of a Nonlinear Fin Equation in Cylindrical Coordinates

Table 2

Commutation relations in Case  1.2.

[𝑋𝑖,𝑋𝑗]	𝑋1	𝑋2	𝑋3	𝑋4	𝑋5	𝑋6
𝑋1	0	0	𝑋1	0	0	𝑋2
𝑋2	0	0	𝑋2	0	0	−𝑋1
𝑋3	−𝑋1	−𝑋2	0	0	0	0
𝑋4	0	0	0	0	𝑐𝑁^2𝛼𝑋4	0
𝑋5	0	0	0	−𝑐𝑁^2𝛼𝑋4	0	0
𝑋6	−𝑋2	𝑋1	0	0	0	0