Mathematics / Matematik

Permanent URI for this collectionhttps://hdl.handle.net/11147/8

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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; Lee, Jyh Hao
    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.
  • Conference Object
    Citation - WoS: 2
    Citation - Scopus: 2
    Self-Dual Chern-Simons Solitons and Quantum Potential
    (Taylor and Francis Ltd., 2001) Pashaev, Oktay; Lee, Jyh Hao
    An influence of the quantum potential on the Chern-Simons solitons leads to quantization of the statistical parameter κ = me 2/g, and the quantum potential strength s = 1 - m 2. A new type of exponentially localized Chern-Simons solitons for the Bloch electrons near the hyperbolic energy band boundary are found.