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Lie symmetry analysis, optimal systems and exact solutions to the fifth-order KdV types of equations |
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| Authors: | Hanze Liu Jibin Li Lei Liu |
| Affiliation: | 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 is performed on the fifth-order KdV types of equations which arise in modeling many physical phenomena. The similarity reductions and exact solutions are obtained based on the optimal system method. Then the exact analytic solutions are considered by using the power series method. |
| Keywords: | Lie symmetry analysis Optimal system Power series method Exact solution Kawahara equation |
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