Differential Characteristic Set Algorithm for the Complete Symmetry Classification of (Partial) Differential Equations

Temuer Chaolu; BAI Yu-shan

doi:10.3879/j.issn.1000-0887.2009.05.006

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Temuer Chaolu, BAI Yu-shan. Differential Characteristic Set Algorithm for the Complete Symmetry Classification of (Partial) Differential Equations[J]. Applied Mathematics and Mechanics, 2009, 30(5): 556-566. doi: 10.3879/j.issn.1000-0887.2009.05.006

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Differential Characteristic Set Algorithm for the Complete Symmetry Classification of (Partial) Differential Equations

doi: 10.3879/j.issn.1000-0887.2009.05.006

Temuer Chaolu¹,
BAI Yu-shan²

1.
Mathematics Department, Shanghai Maritime University, Shanghai 200135, P. R. China;

Received Date: 2008-06-01
Rev Recd Date: 2009-03-09
Publish Date: 2009-05-15

Abstract

Abstract

A differential polynomial characteristic set algorithm for the complete symmetry classification of (partial) differe ntial equations with some parameters was given, which made the solution of the complete symmetry classification problem for (partial) differential equations become direct and systematic. As an illustrative example, the complete potential symmetry classifications of nonlinear and linear wave equations with an arbitrary function parameter were presented. This is a new application of differential form characteristic set algrithmc (differential form Wu.s method) in field of differential equations.
- partial differential equations,
- symmetry,
- classification,
- differential characteristic set

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References(14)

References

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