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  • Open Access

    ARTICLE

    Continuous Symmetry Analysis of the Effects of City Infrastructures on Invariant Metrics for House Market Volatilities

    Chien-Wen Lin1, Jen-Cheng Wang2, Bo-Yan Zhong3, Joe-Air Jiang4,5, Ya-Fen Wu6, Shao-Wei Leu1, Tzer-En Nee3,7,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.133, No.3, pp. 619-638, 2022, DOI:10.32604/cmes.2022.021324

    Abstract The invariant metrics of the effects of park size and distance to public transportation on housing value volatilities in Boston, Milwaukee, Taipei and Tokyo are investigated. They reveal a Cobb-Douglas-like behavior. The scale-invariant exponents corresponding to the percentage of a green area (a) are 7.4, 8.41, 14.1 and 15.5 for Boston, Milwaukee, Taipei and Tokyo, respectively, while the corresponding direct distances to the nearest metro station (d) are −5, −5.88, −10 and −10, for Boston, Milwaukee, Taipei and Tokyo, respectively. The multiphysics-based analysis provides a powerful approach for the symmetry characterization of market engineering. The scaling exponent ratio between park… More >

  • Open Access

    ARTICLE

    On the KP Equation with Hysteresis

    Veturia Chiroiu1, Ioan Ursu2, Ligia Munteanu3, Tudor Sireteanu4

    FDMP-Fluid Dynamics & Materials Processing, Vol.8, No.1, pp. 91-106, 2012, DOI:10.3970/fdmp.2011.008.091

    Abstract The Kadomtsev-Petviashvili (KP) equation describes the evolution of nonlinear, long waves of small amplitude with slow dependence on the transverse coordinate. The KP equation coupled with the generalized play operator is studied in this paper in order to explain the dilatonic behavior of the soliton interaction and the generation of huge waves in shallow waters. Hirota bilinear method and results from a nonlinear semigroup theory are applied to simulate the resonant soliton interactions. More >

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