scholarly journals LIE SYMMETRY ANALYSIS AND INVARIANT SOLUTIONS OF THE GENERALIZED FIFTH-ORDER KDV EQUATION WITH VARIABLE COEFFICIENTS

2013 ◽  
Vol 31 (1_2) ◽  
pp. 229-239 ◽  
Author(s):  
Gang-Wei Wang ◽  
Xi-Qiang Liu ◽  
Ying-Yuan Zhang
Keyword(s):  
Kdv Equation ◽  
Variable Coefficients ◽  
Lie Symmetry ◽  
Symmetry Analysis ◽  
Invariant Solutions ◽  
Lie Symmetry Analysis ◽  
Fifth Order

scholarly journals A Lie Symmetry Solutions of Sawada-Kotera Equation

2019 ◽  
Vol 17 ◽  
pp. 1-11
Author(s):  
Winny Chepngetich Bor ◽  
Owino M. Oduor ◽  
John K. Rotich
Keyword(s):  
Power Series ◽  
Lie Symmetry ◽  
Symmetry Analysis ◽  
Symmetry Groups ◽  
Series Solutions ◽  
Invariant Solutions ◽  
Infinitesimal Transformation ◽  
Lie Symmetry Analysis ◽  
Power Series Solutions ◽  
Fifth Order

In this article, the Lie Symmetry Analysis is applied in finding the symmetry solutions of the fifth order Sawada-Kotera equation. The technique is among the most powerful approaches currently used to achieveprecise solutions of the partial differential equations that are nonlinear. We systematically show the procedure to obtain the solution which is achieved by developing infinitesimal transformation, prolongations, infinitesimal generatorsand invariant transformations hence symmetry solutions of the fifth order Sawada-Kotera equation. Key Words- Lie symmetry analysis. Sawada-Kotera equation. Symmetry groups. Prolongations. Invariant solutions. Power series solutions. Symmetry solutions.

Sign in / Sign up

Export Citation Format

Share Document