Polynomial nonlinearities in differential equations (Q1084566)

The first author and his collaborators have found solutions for nonlinear stochastic (or deterministic in the limiting case) differential equations involving polynomial nonlinearities. Using the first author's \(A_ n\) polynomials and recently developed methods of calculating these polynomials, it becomes very easy to write solutions for nonlinear terms such as \(y^ m\) for positive integers m. The cases of negative integer m or even decimal powers will appear elsewhere.