A HIGHER ORDER NON-LINEAR DIFFERENTIAL EQUATION AND A GENERALIZATION OF THE AIRY FUNCTION
In this paper, a higher order non-linear differential equation is given and it becomes a higher order Airy equation (in our terminology) under the Cole-Hopf transformation.
For the even case a solution is explicitly constructed, which is a generalization of the Airy function.
higher order Airy equation, higher order Cole-Hopf transformation.
