Differential Invariants For Nonlinear Third Order Evolution Type Partial Differential Equations

摘要

Lie infinitesimal method has been applied to derive differential invariants for linear third order evolution equations, here we obtain a nonlinear third order partial differential equation from general linear third order evolution equation by point transformations. Differential invariants for the resulting nonlinear third order PDE are deduced here. Reduction of the obtained nonlinear form to solvable forms of this family is achieved by employing derived differential invariants. We provide MAPLE codes to construct group of equivalence transformations and corresponding invariants.