Cao, Dawei; He, Huacan; Zhang, Guo-qi Similarity analysis of Lie group method applied to solving the partial differential equation of orthogonal anisotropic plates. (English) Zbl 0760.73033 Sci. China, Ser. A 35, No. 2, 211-222 (1992). 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 Keywords:software package; symbolic analytical system REDUCE; group analyses; reduced dimension; exact analysis solutions Software:REDUCE PDF BibTeX XML Cite \textit{D. Cao} et al., Sci. China, Ser. A 35, No. 2, 211--222 (1992; Zbl 0760.73033) OpenURL