The Riccati System and a Diffusion-Type Equation

Details The Riccati System and a Diffusion-Type Equation The Riccati System and a Diffusion-Type Equation

2011-02-22

arxiv.org/abs/1102.4630v2

Physics

Mathematical Physics

11 pages, no figures

Scientific paper

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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