The Riccati System and a Diffusion-Type Equation

2011/02/22 by Suazo, Erwin, Suslov, Sergei K., Vega-Guzman, Jose M.
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1102.4630

Abstract

We discuss a method of constructing solution of the initial value problem for duffusion-type equations in terms of solutions of certain Riccati and Ermakov-type systems. A nonautonomous Burgers-type equation is also considered.

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