Lie symmetry analysis and conservation law of variable-coefficient Davey–Stewartson equation

2018 ◽  
Vol 75 (9) ◽  
pp. 3420-3430 ◽  
Author(s):  
Guang-Mei Wei ◽  
Ying-Lin Lu ◽  
Ya-Qin Xie ◽  
Wen-Xin Zheng
Keyword(s):  
Conservation Law ◽  
Variable Coefficient ◽  
Lie Symmetry ◽  
Symmetry Analysis ◽  
Lie Symmetry Analysis

scholarly journals Lie symmetry analysis and conservation law for the equation arising from higher order Broer-Kaup equation

2019 ◽  
Vol 17 (1) ◽  
pp. 1045-1054
Author(s):  
Hengtai Wang ◽  
Huiwen Chen ◽  
Zigen Ouyang ◽  
Fubin Li
Keyword(s):  
Lie Group ◽  
Conservation Law ◽  
Higher Order ◽  
Lie Symmetry ◽  
Symmetry Analysis ◽  
Optimal System ◽  
Group Method ◽  
Lie Symmetry Analysis ◽  
Lie Group Method ◽  
Similarity Reductions

Abstract In this paper, Lie symmetry analysis is performed for the equation derived from $(2+1)$-dimensional higher order Broer-Kaup equation. Meanwhile, the optimal system and similarity reductions based on the Lie group method are obtained. Furthermore, the conservation law is studied via the Ibragimov’s method.

Lie symmetry analysis of a variable coefficient Calogero–Degasperis equation

2018 ◽  
Vol 93 (10) ◽  
pp. 105202 ◽  
Author(s):  
Christodoulos Sophocleous ◽  
Rita Tracinà
Keyword(s):  
Variable Coefficient ◽  
Lie Symmetry ◽  
Symmetry Analysis ◽  
Lie Symmetry Analysis

scholarly journals Lie Symmetry Analysis, Self-Adjointness and Conservation Law for a Type of Nonlinear Equation

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1313
Author(s):  
Hengtai Wang ◽  
Zhiwei Zou ◽  
Xin Shen
Keyword(s):  
Nonlinear Equation ◽  
Lie Group ◽  
Conservation Law ◽  
Lie Symmetry ◽  
Symmetry Analysis ◽  
Group Method ◽  
Lie Symmetry Analysis ◽  
Lie Group Method ◽  
The Given ◽  
Similarity Reductions

In the present paper, we mainly focus on the symmetry of the solutions of a given PDE via Lie group method. Meanwhile we transfer the given PDE to ODEs by making use of similarity reductions. Furthermore, it is shown that the given PDE is self-adjoining, and we also study the conservation law via multiplier approach.

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