|
|||||
|
|
Lie group classifications and exact solutions for two variable-coefficient equations |
|
| Authors: | Hanze Liu Jibin Li Lei Liu |
| Institution: | a Department of Mathematics, Binzhou University, Binzhou, Shandong 256603, China b Center for Nonlinear Science Studies, Kunming University of Science and Technology, Kunming, Yunnan 650093, China c Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China d The Center for Economic Research, Shandong University, Ji’nan, Shandong 250100, China |
| Abstract: | In this paper, the Lie symmetry analysis and group classifications are performed for two variable-coefficient equations, the hanging chain equation and the bond pricing equation. The symmetries for the two equations are obtained, the exact explicit solutions generated from the similarity reductions are presented. Moreover, the exact analytic solutions are considered by the power series method. |
| Keywords: | Variable-coefficient equation Hanging chain equation Bond pricing equation Lie symmetry analysis Power series method Exact solution |
| 本文献已被 ScienceDirect 等数据库收录！ | |