RESUMEN
The
infinitely many commuting symmetries and recursion operator of a recently
introduced KdV-type equation, μt
+ βt2n+1(μXXX -6μμX)
+ (n+1/t)(xμX
+ 2μ) = 0 is studied in this letter. it is found
that this new equation has two types of symmetries which are generated by the
same recursion operator. The Lie algebra hat associated to the two types of
symmetries is also found.