Painleve analysis, group invariant analysis, similarity reduction, exact solutions, and conservation laws of Mikhailov-Novikov-Wang equation

2021 ◽  
Author(s):  
S. Saha Ray
Keyword(s):  
Conservation Laws ◽  
Exact Solutions ◽  
Painlevé Analysis ◽  
Similarity Reduction ◽  
Group Invariant ◽  
Analysis Group ◽  
Invariant Analysis ◽  
Painleve Analysis

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 Bäcklund Transformation and New Exact Solutions of the Sharma-Tasso-Olver Equation

2011 ◽  
Vol 2011 ◽  
pp. 1-8 ◽  
Author(s):  
Lin Jianming ◽  
Ding Jie ◽  
Yuan Wenjun
Keyword(s):  
Exact Solutions ◽  
Bäcklund Transformation ◽  
Analytic Study ◽  
Bäcklund Transformations ◽  
Painlevé Analysis ◽  
Backlund Transformation ◽  
New Exact Solutions ◽  
Backlund Transformations ◽  
Painleve Analysis

The Sharma-Tasso-Olver (STO) equation is investigated. The Painlevé analysis is efficiently used for analytic study of this equation. The Bäcklund transformations and some new exact solutions are formally derived.

Symmetry reduction, exact solutions and conservation laws of the Bogoyavlenskii equation

2019 ◽  
Vol 35 (01) ◽  
pp. 1950339
Author(s):  
Zhenli Wang ◽  
Chuan Zhong Li ◽  
Lihua Zhang
Keyword(s):  
Conservation Laws ◽  
Exact Solutions ◽  
Hyperbolic Function ◽  
Group Invariant ◽  
New Exact Solutions ◽  
Power Series Solutions ◽  
Hyperbolic Function Solutions ◽  
Trigonometric Function Solutions ◽  
Group Invariant Solutions ◽  
Symmetry Method

In this paper, by applying the direct symmetry method, we obtain the symmetry reductions, group invariant solutions and some new exact solutions of the Bogoyavlenskii equation, which include hyperbolic function solutions, trigonometric function solutions and power series solutions. We also give the conservation laws of the Bogoyavlenskii equation.

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