Nonclassical potential symmetries for the Burgers equation Original Research Article

In this work classes of symmetries for partial differential equations which can be written in a conserved form are found. These nonclassical potential symmetries are realized as nonclassical symmetries of the associated potential system and are neither classical potential symmetries realized as Lie symmetries of a related auxiliary system nor nonclassical symmetries of the considered equation. Some of these symmetries are carried out for the Burgers equation. These symmetries are realized as the nonclassical symmetries of the associated potential system and yield many new nonlocal generators and new explicit solutions of the Burgers equation.