A Higher Order Non--Linear Differential Equation and a Generalization of the Airy Function

Details A Higher Order Non--Linear Differential Equation and a Generalization of the Airy Function A Higher Order Non--Linear Differential Equation and a Generalization of the Airy Function

2007-12-15

arxiv.org/abs/0712.2481v1

Physics

Mathematical Physics

Latex ; 6 pages ; no figure. This is my mathematical note

Scientific paper

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.

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