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An Algorithm to Determine Potential Systems in Mathematica

✍ Scribed by Gernot Haager; Gerd Baumann; Theo F. Nonnenmacher

Book ID
102603434
Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
487 KB
Volume
20
Category
Article
ISSN
0747-7171

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✦ Synopsis

A symmetry analysis of differential equations plays an important role in discovering new solutions. In this article potential symmetries characterized by nonlocal transformations are introduced and an algorithm implemented in the computer algebra system Mathematica is presented which determines automatically potential systems and the corresponding potential symmetries. The possibilities of this algorithm are discussed by the examples of a nonlinear telegraph equation and the axial symmetric wave equation.

πŸ“œ SIMILAR VOLUMES

An algorithm to determine a dipole curre
An algorithm to determine a dipole current in a sphere
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## Abstract Suppose a spherical conductor has a single dipole. If it is assumed that the direction of current is perpendicular to the location of dipole, then we prove that the dipole can be obtained as an exact form from the induced magnetic field and provide an easy algorithm to locate the dipole