Approximate Symmetries of the Harry Dym Equation

Table 1

Approximate commutators of approximate symmetry of perturbed Harry Dym equation.

	𝐯𝟏	𝐯2	𝐯3	𝐯4	𝐯5	𝐯6	𝐯7	𝐯8	𝐯9	𝐯10
𝐯𝟏	0	0	𝐯𝟏	0	2𝐯3	0	0	𝐯6	0	2𝐯8
𝐯2	0	0	0	12𝐯2	0	0	0	0	3𝐯7	0
𝐯3	−𝐯1	0	0	0	𝐯5	−𝐯6	0	0	0	𝐯10
𝐯4	0	−12𝐯2	0	0	0	0	−3𝐯7	0	0	0
𝐯5	−2𝐯3	0	−𝐯5	0	0	−2𝐯8	0	−𝐯10	0	0
𝐯6	0	0	𝐯6	0	2𝐯8	0	0	0	0	0
𝐯7	0	0	0	3𝐯7	0	0	0	0	0	0
𝐯8	−𝐯6	0	0	0	𝐯10	0	0	0	0	0
𝐯9	0	−3𝐯7	0	0	0	0	0	0	0	0
𝐯10	−2𝐯8	0	−𝐯10	0	0	0	0	0	0	0