LieSymm

Finding Lie symmetries of partial differential equations with MATHEMATICA ® : Applications to nonlinear fiber optics. A Mathematica ® package for finding Lie symmetries of partial differential equations is presented. The package is applied to perform a full Lie group analysis of basic models of nonlinear fiber optics. As a result of this, group invariant solutions are obtained. Comparisons with earlier published computer algebra implementations of the Lie group method are discussed.