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math-ph2011
The Riccati System and a Diffusion-Type Equation
Erwin Suazo, Sergei K. Suslov, Jose M. Vega-Guzman
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 nonauton…
math-ph2008★ 21 cited
The Riccati Differential Equation and a Diffusion-Type Equation
Erwin Suazo, Sergei K. Suslov, Jose M. Vega-Guzman
We construct an explicit solution of the Cauchy initial value problem for certain diffusion-type equations with variable coefficients on the entire real line. The corresponding Gre…