Lie symmetry analysis and exact explicit solutions for general Burgers’ equation |
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| Authors: | Hanze Liu Jibin Li Quanxin Zhang |
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| Institution: | 1. Center for Nonlinear Science Studies, Kunming University of Science and Technology, Kunming Yunnan 650093, China;2. Department of Mathematics, Binzhou University, Binzhou Shandong 256603, China;3. Department of Mathematics, Zhejiang Normal University, Jinhua Zhejiang 321004, China |
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| Abstract: | In this paper, the Lie symmetry analysis is performed for the general Burgers’ equation. The exact solutions and similarity reductions generated from the symmetry transformations are provided. Furthermore, the all exact explicit solutions and similarity reductions based on the Lie group method are obtained, some new method and techniques are employed simultaneously. Such exact explicit solutions and similarity reductions are important in both applications and the theory of nonlinear science. |
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| Keywords: | 22E70 35Q53 |
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