A Higher Order Non--Linear Differential Equation and a Generalization of the Airy Function
Mathematical Physics
2014-09-23 v1 math.MP
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.0712.2481,
title = {A Higher Order Non--Linear Differential Equation and a Generalization of the Airy Function},
author = {Kazuyuki Fujii},
journal= {arXiv preprint arXiv:0712.2481},
year = {2014}
}
Comments
Latex ; 6 pages ; no figure. This is my mathematical note