“Amalgamation of Two methods of Partial Differential Equations”

Abstract

In partial differential complex domain, by comparing two equations or transform one equation
in to another is done by considering the coupling of two equations (1) and (2). The for the most part
imperative statement is that the combination equation has considerably lots of variables and so the sense of
the solution is not so inconsequential. The result is applied to the problem of analytic continuation of the
solution. In this paper, I will in attendance a novel draw near to the study of nonlinear partial differential
equations in the composite domain. Since the explore is still in the initial stage, as a replica study I will
converse about only the subsequent two partial
Differential equations in the first stage, as a reproduction swot up I will confer lone the following two partial
differential equations.
????????
????????
= P ( x,t,y, ????????
????????
)………………….....(1)
(Where (x, t) ∈ C2 are variables and y = y(x, t) is the unknown function)
????????
????????
= Q ( x,t,y, ????????
????????
)…………………….(2)
(where (x, t) ∈ C2 are variables and θ= θ (x, t) is the unknown function)