The Application of Lie Group Method to First Order Partial Differential Equations

Abstract:

      A way of transforming first order nonlinear PDE to first order quasilinear PDE or integrable first order PDE by using Lie group method is presented. The presented way can be applied to some first order nonlinear PDE's which admit one or two Lie groups and have two independent variables,especially to Hamilton-Jacobi equations of some Lagrange systems which have one degree of freedom.