New exact solutions of Bratu Gelfand model in two dimensions using Lie symmetry analysis

2020 ◽  
Vol 65 ◽  
pp. 198-206 ◽  
Author(s):  
Mohamed R. Ali ◽  
Wen-Xiu Ma
Symmetry ◽  
2019 ◽  
Vol 11 (5) ◽  
pp. 601 ◽  
Author(s):  
Changzhao Li ◽  
Juan Zhang

This paper considers the Lie symmetry analysis of a class of fractional Zakharov-Kuznetsov equations. We systematically show the procedure to obtain the Lie point symmetries for the equation. Accordingly, we study the vector fields of this equation. Meantime, the symmetry reductions of this equation are performed. Finally, by employing the obtained symmetry properties, we can get some new exact solutions to this fractional Zakharov-Kuznetsov equation.


2004 ◽  
Vol 45 (1) ◽  
pp. 448 ◽  
Author(s):  
Xiaoda Ji ◽  
Chunli Chen ◽  
Jin E. Zhang ◽  
Yishen Li

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