Lie Symmetry Classification of the Generalized Nonlinear Beam Equation
Abstract
:1. Introduction
2. Lie Symmetry Classification
3. Symmetry Reduction and Exact Solutions
4. Conclusions and Discussion
Acknowledgments
Author Contributions
Conflicts of Interest
References
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N | Basis of A | |||
---|---|---|---|---|
1 | ∀ | ∀ | ∀ | |
2 | ∀ | 0 | 0 | |
3 | 0 | 0 | ||
4 | 0 | |||
5 | ||||
6 | ||||
7 | ||||
8 | ||||
9 | 0 | 0 | ||
10 | 0 | |||
11 | 0 | |||
12 | 0 | 0 | ||
13 | 0 | |||
14 | ||||
15 | 1 | 0 | 0 | |
where | ||||
16 | 1 | d | ||
where |
N | Ansatz for | Reduced ODE | ||
---|---|---|---|---|
1 | x | |||
2 | t | |||
3 | ||||
4 |
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Huang, D.; Li, X.; Yu, S. Lie Symmetry Classification of the Generalized Nonlinear Beam Equation. Symmetry 2017, 9, 115. https://doi.org/10.3390/sym9070115
Huang D, Li X, Yu S. Lie Symmetry Classification of the Generalized Nonlinear Beam Equation. Symmetry. 2017; 9(7):115. https://doi.org/10.3390/sym9070115
Chicago/Turabian StyleHuang, Dingjiang, Xiangxiang Li, and Shunchang Yu. 2017. "Lie Symmetry Classification of the Generalized Nonlinear Beam Equation" Symmetry 9, no. 7: 115. https://doi.org/10.3390/sym9070115