On Double AL- ughair Transform Partial Technique and Solving Telegraphic Equation

In this paper, we developing one of the new transform, namely (AL- ughair transform),was introduced through the study of (Double AL- ughair transform, inverse Double AL- ughair transform), method is introduced used to solve the one dimensional partial differential equations with variable coefficients and then we discussed some examples to illustrate this concept and properties. On the other hand, (Double AL- ughair transform ) was presented for the partial derivatives with two variables and the transport equation and some other partial equations were solved, which indicates the effectiveness of this transformation in solving them in a quick and simplified manner.