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Symmetry Analysis of Differential Equations with Mathematica

Gerd Baumann
Organization: Visual Analysis
Journal / Anthology

Mathematical Computation and Modelling
Year: 1997
Volume: 25
Issue: 8/9
Page range: 25-37

We will discuss three different methods for finding symmetry solutions based on the Fréchut derivative common to each procedure. The methods discussed are Lie's standard procedure of symmetry analysis, the nonclassical method, and the derivation of potential symmetries. A ferro-magnet in a strong external field represented by a nonlinear telegraph equation serves as an example describing the application of all three methods. The symmetry methods discussed are realized in a Mathematica package called MathLie performing all the required calculations.

*Mathematics > Algebra > Group Theory
*Mathematics > Calculus and Analysis > Differential Equations
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*Symmetry Analysis of Differential Equations with Mathematica   [in Books]