Potential symmetry generators of some perturbed nonlinear evolution related equations (Q928594)

Summary: Some recent results on approximate Lie group methods and previously developed concepts on potential symmetries are extended and applied to nonlinear systems perturbed to some order by a small parameter. The potential (or auxiliary) form of the perturbed system necessarily requires knowledge of an ``approximate'' conservation law of the system. We make an analysis on a perturbed Burgers equation and discuss other nonlinear equations where the results are applicable.