Open AccessSolutions of the KdV Equation through Analysis of Regular Symmetries
Author(s) -
Sarmad Jamal,
Jacob Manale
Publication year - 2021
Publication title -
wseas transactions on mathematics
Language(s) - English
Resource type - Journals
eISSN - 2224-2880
pISSN - 1109-2769
DOI - 10.37394/23206.2021.20.40
Subject(s) - ode , korteweg–de vries equation , homogeneous space , mathematics , differentiable function , ordinary differential equation , partial differential equation , pure mathematics , differential equation , mathematical analysis , physics , nonlinear system , geometry , quantum mechanics
We investigate a case of the generalized Korteweg – De Vries Burgers equation. Our aim is to demonstrate the need for the application of further methods in addition to using Lie Symmetries. The solution is found through differential topological manifolds. We apply Lie’s theory to take the PDE to an ODE. However, this ODE is of third order and not easily solvable. It is through differentiable topological manifolds that we are able to arrive at a solution