Applications on symmetry solutions of partial differential equations

Abstract EN

This paper analyze a class of partial differential equations of the form ( ) 2 2 u u u t x x ¶ x ¶ f x ¶ ¶ ¶ ¶ = + using Lie symmetry group method.

It was shown that if the function f is a solution of a family of Ricatti equations, then symmetry techniques can be used to find the characteristic functions and fundamental solutions for partial differential equations (PDES).