Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 383, Issue 2, Pages 400-408Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2011.05.034
Keywords
Thomas equation; Lie group classification; Optimal system; Symmetry reduction; Generalized power series method; Exact solution
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Funding
- Natural Science Foundation of China [10971018]
- Natural Science Foundation of Shandong Province [ZR2010AM029]
- Promotive Research Fund for Young and Middle-Aged Scientists of Shandong Province [BS2010SF001]
- Doctoral Foundation of Binzhou University [2009Y01]
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In this paper, the complete group classifications are performed on the types of Thomas equations (TEs), which arise in the study of chemical exchange progress, etc., all of the vector fields of the equations are presented. Then, the optimal system of the general Thomas equation is given, and all of the symmetry reductions and exact solutions generated from the optimal system are investigated. Furthermore, the exact analytic solutions to the Thomas equations are obtained by the generalized power series method. (C) 2011 Elsevier Inc. All rights reserved.
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