The Riccati System and a Diffusion-Type Equation

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.

11 pages, no figures

References in corpus (4)

• The Cauchy Problem for a Forced Harmonic Oscillator
• The time-dependent Schroedinger equation, Riccati equation and Airy functions
• On Integrability of Nonautonomous Nonlinear Schroedinger Equations
• A Graphical Approach to a Model of Neuronal Tree with Variable Diameter