Mathematics / Matematik

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  • Conference Object
    Citation - WoS: 6
    Citation - Scopus: 6
    Soliton Resonances, Black Holes and Madelung Fluid
    (Taylor and Francis Ltd., 2001) Pashaev, Oktay; Pashaev, Oktay; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    The reaction-diffusion 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.