scholarly journals Non-Lie Symmetry Groups and New Exact Solutions to the (2 + 1)-Dimensional Broer-Kaup System

2013 ◽  
Vol 03 (01) ◽  
pp. 149-152
Author(s):  
Bin Zheng ◽  
Xiqiang Liu
Keyword(s):  
Exact Solutions ◽  
Lie Symmetry ◽  
Symmetry Groups ◽  
New Exact Solutions

scholarly journals Symmetry Reduction, Exact Solutions, and Conservation Laws of the ZK-BBM Equation

2012 ◽  
Vol 2012 ◽  
pp. 1-9
Author(s):  
Wenbin Zhang ◽  
Jiangbo Zhou ◽  
Sunil Kumar
Keyword(s):  
Conservation Laws ◽  
Exact Solutions ◽  
Invariant Solution ◽  
Lie Symmetry ◽  
Similarity Reduction ◽  
Group Invariant ◽  
New Exact Solutions ◽  
Reduction Group ◽  
The Given ◽  
Bbm Equation

Employing the classical Lie method, we obtain the symmetries of the ZK-BBM equation. Applying the given Lie symmetry, we obtain the similarity reduction, group invariant solution, and new exact solutions. We also obtain the conservation laws of ZK-BBM equation of the corresponding Lie symmetry.

scholarly journals Lie symmetry group of (2+1)-dimensional Jaulent-Miodek equation

2014 ◽  
Vol 18 (5) ◽  
pp. 1547-1552
Author(s):  
Hong-Cai Ma ◽  
Ai-Ping Deng ◽  
Yao-Dong Yu
Keyword(s):  
Exact Solutions ◽  
Symmetry Group ◽  
Linear Model ◽  
Linear Models ◽  
Direct Method ◽  
Lie Symmetry ◽  
Auxiliary Equation ◽  
Auxiliary Equation Method ◽  
New Exact Solutions ◽  
Non Linear

In this paper, we consider a system of (2+1)-dimensional non-linear model by using auxiliary equation method and Clarkson-Kruskal direct method which is very important in fluid and physics. We construct some new exact solutions of (2+1)-dimensional non-linear models with the aid of symbolic computation which can illustrate some actions in fluid in the future.

scholarly journals Lie Symmetry Analysis and Exact Solutions of Generalized Fractional Zakharov-Kuznetsov Equations

Symmetry ◽  
2019 ◽  
Vol 11 (5) ◽  
pp. 601 ◽  
Author(s):  
Changzhao Li ◽  
Juan Zhang
Keyword(s):  
Exact Solutions ◽  
Vector Fields ◽  
Lie Symmetry ◽  
Symmetry Analysis ◽  
Lie Point Symmetries ◽  
Lie Symmetry Analysis ◽  
Symmetry Reductions ◽  
New Exact Solutions ◽  
Symmetry Properties

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.

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