On symmetries, conservation laws and invariant solutions of the foam-drainage equation

2011 ◽  
Vol 46 (2) ◽  
pp. 357-362 ◽  
Author(s):  
Emrullah Yaşar ◽  
Teoman Özer
Keyword(s):  
Conservation Laws ◽  
Invariant Solutions ◽  
Foam Drainage Equation ◽  
Foam Drainage

Lie Symmetries and Conservation Laws of the Generalised Foam-Drainage Equation

2017 ◽  
Vol 72 (3) ◽  
pp. 261-267 ◽  
Author(s):  
Zhi-Yong Zhang ◽  
Kai-Hua Ma
Keyword(s):  
Power Series ◽  
Conservation Laws ◽  
Series Solution ◽  
Power Series Solution ◽  
One Dimensional ◽  
Symmetry Classification ◽  
Symmetry Operators ◽  
Foam Drainage Equation ◽  
Foam Drainage

AbstractWe perform a complete Lie point symmetry classification of the generalised foam-drainage equation and then construct an optimal system of one-dimensional subalgebra of the admitted symmetry operators and use them to reduce the equations under study. A power series solution of the reduced equation is constructed. Moreover, we find all multipliers of the equations and apply them to construct conservation laws.

Numerical solutions of the fractal foam drainage equation

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Siddra Habib ◽  
Asad Islam ◽  
Amreen Batool ◽  
Muhammad Umer Sohail ◽  
Muhammad Nadeem
Keyword(s):  
Numerical Solutions ◽  
Foam Drainage Equation ◽  
Fractal Foam ◽  
Foam Drainage

Exact solutions for nonlinear foam drainage equation

2016 ◽  
Vol 91 (2) ◽  
pp. 209-218 ◽  
Author(s):  
E. M. E. Zayed ◽  
Abdul-Ghani Al-Nowehy
Keyword(s):  
Exact Solutions ◽  
Foam Drainage Equation ◽  
Foam Drainage
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