Journal of Nonlinear Mathematical Physics 2001, V.8, Supplement, 230--234 Proceedings: NEEDS'99 Soliton Resonances, Black Holes and Madelung Fluid

Abstract

The reaction-di#usion system realizing a particular gauge fixing condition of the Jackiw--Teitelboim gravity is represented as a coupled pair of Burgers equations with positive and negative viscosity. For acoustic metric in the Madelung fluid representation the space-time points where dispersion change the sign correspond to the event horizon, while shock soliton solutions to the black holes, creating under collision the resonance states.