SIMILARITY SOLUTIONS OF SYSTEM - Softcover

Inhaltsangabe

Excerpt from Similarity Solutions of Systems of Partial Differential Equations Using Macsyma

Here we introduce the use of the algebraic computing system macsyma to facilitate these calculations. Specifically, macsyma is used to calculate systematically the generators of the infinitesimal group under which the considered equations are invariant. As far as the Operational side of the similarity method is concerned, this is the most involved and tedious step. Once the general similarity group is found, a (hopefully non trivial) subgroup is found which leaves invariant boundary curves and boundary conditions. Finally, once this subgroup is found, its invariants and consequently the similarity forms of the solutions of the partial differential equations can be found.

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