Constructing two-dimensional optimal system of the group invariant solutions

2016 ◽  
Vol 57 (2) ◽  
pp. 023518 ◽  
Author(s):  
Xiaorui Hu ◽  
Yuqi Li ◽  
Yong Chen
Keyword(s):  
Optimal System ◽  
Two Dimensional ◽  
Invariant Solutions ◽  
Group Invariant ◽  
Group Invariant Solutions

scholarly journals Group-Invariant Solutions for Two-Dimensional Free, Wall, and Liquid Jets Having Finite Fluid Velocity at Orifice

2011 ◽  
Vol 2011 ◽  
pp. 1-12
Author(s):  
R. Naz
Keyword(s):  
Fluid Velocity ◽  
Invariant Solution ◽  
Jet Flows ◽  
Order Partial Differential Equation ◽  
Free Wall ◽  
Two Dimensional ◽  
Invariant Solutions ◽  
Third Order ◽  
Group Invariant ◽  
Group Invariant Solutions

The group-invariant solutions for nonlinear third-order partial differential equation (PDE) governing flow in two-dimensional jets (free, wall, and liquid) having finite fluid velocity at orifice are constructed. The symmetry associated with the conserved vector that was used to derive the conserved quantity for the jets (free, wall, and liquid) generated the group invariant solution for the nonlinear third-order PDE for the stream function. The comparison between results for two-dimensional jet flows having finite and infinite fluid velocity at orifice is presented. The general form of the group invariant solution for two-dimensional jets is given explicitly.

Group invariant solutions of (2+1)-dimensional rdDym equation using optimal system of Lie subalgebra

2019 ◽  
Vol 94 (11) ◽  
pp. 115202 ◽  
Author(s):  
Sachin Kumar ◽  
Abdul-Majid Wazwaz ◽  
Dharmendra Kumar ◽  
Amit Kumar
Keyword(s):  
Optimal System ◽  
Invariant Solutions ◽  
Group Invariant ◽  
Group Invariant Solutions
Sign in / Sign up

Export Citation Format

Share Document