A Study on Charpits Method for Finding the Solution of Nonlinear Partial Differential Equations of First Order with Three Independent Variables

Dr. Gitumani Sarma, Vezhopalu

Abstract: In this paper, we have studied the non linear differential equation of first order with three variables. Also we have studied the necessary and sufficient condition that the surface be integral surface of a partial differential equation is that at each point its tangent element should touch the elementary cone of the equation. It is examined that along every characteristic strip of the partial differential equation, the function is a constant.

Keywords: Cauchy method, Non-linear partial differential equations, Plaffs equations, Compatibility, Charpits method