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Similarity analysis of Lie group method applied to solving the partial differential equation of orthogonal anisotropic plates. (English) Zbl 0760.73033

Summary: A Lie group method software package based on a symbolic analytical system REDUCE, is established for the solution of the linear and nonlinear PDEs. By means of this software package, the group analyses for the PDE of the orthogonal anisotropic plates are made. We have obtained a set of ODEs of the reduced dimension and all the exact analysis solutions of the former PDE.

MSC:

74K20 Plates
35A30 Geometric theory, characteristics, transformations in context of PDEs
68W30 Symbolic computation and algebraic computation
74E30 Composite and mixture properties

Software:

REDUCE
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