Nonclassical symmetries of a class of Burgersʹ systems

The nonclassical symmetries of a class of Burgersʹ systems are considered. This study was initialized by Cherniha and Serov with a restriction on the form of the nonclassical symmetry operator. In this paper we remove this restriction and solve the determining equations to show that (1) a new form of a Burgersʹ system exists that admits a nonclassical symmetry and (2) a Burgersʹ system exists that is linearizable.