Nonlinear Phenomena in Complex Systems, 2004, Vol.7, No.4,pp.415-417

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2004, Vol.7, No.4, pp.415-417

Exactly Solvable Nonlinear Master Equation.
S. Maximov and A. Grinchuk

Master equation exactly solvable with a special kind of kinetic coefficients (or transition rates) is presented. The kinetic coefficients specifying master-equation are symmetric and state-dependent. The equation obtained is markovian but a nonlinear one. The technique is presented for to solve the equation analytically, and the solutions are investigated. It is found the only stable state solution of the equation is the uniform distribution.
Key words: Kinetic theory, nonlinear dynamics, master equation

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