How to obtain Lie point symmetries of PDEs
Sajid Mohammad Kadhim, Mayada Gassab Mohammad, Hassan Kamil Jassim
Abstract
In this research, we have studied how to obtain Lie point symmetries of a partial differential equation (PDEs) of second order. We have also studied some PDEs' applications as one-dimensional and two-dimensional heat equations. We have used Manale's formula for solving second-order ordinary differential equations to determine new symmetries. Burgers equation has been studied, and Lie point symmetries have been obtained for these equations.
Topics & Concepts
Homogeneous spacePoint (geometry)MathematicsLie groupPure mathematicsMathematical physicsCalculus (dental)PhysicsAlgebra over a fieldGeometryMedicineDentistryMolecular spectroscopy and chirality