Group classifications, optimal systems and exact solutions to the generalized Thomas equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:383

Article

Liu, Hanze¹  Li, Jibin²  Liu, Lei³  Wei, Yuan¹ 

[1] Binzhou Univ, Dept Math, Binzhou 256603, Shandong, Peoples R China

[2] Kunming Univ Sci & Technol, Ctr Nonlinear Sci Studies, Kunming 650093, Yunnan, Peoples R China

[3] Shandong Univ, Ctr Econ Res, Jinan 250100, Shandong, Peoples R China

关键词: Thomas equation;    Lie group classification;    Optimal system;    Symmetry reduction;    Generalized power series method;    Exact solution;   

DOI  :  10.1016/j.jmaa.2011.05.034

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free