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  1. 121

    Assessment of the Probability of Occurrence of Normal Cracks in a Reinforced Concrete Beam with Probabilistic Parameters Lying on a Stochastic Half-Plane by Pavel D. Deminov

    Published 2023-07-01
    “…The parameters of the density distribution of the probability of bending moments in a reinforced concrete beam lying on a stochastic half-plane, and the probability of the formation of normal cracks in it, are obtained for the case of controlling the strength of concrete only in compression and for the case of controlling the strength of concrete both in compression and in tension.…”
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  2. 122

    Symmetry Groups, Similarity Reductions, and Conservation Laws of the Time-Fractional Fujimoto–Watanabe Equation Using Lie Symmetry Analysis Method by Baoyong Guo, Huanhe Dong, Yong Fang

    Published 2020-01-01
    “…Symmetry groups and similarity reductions are obtained by virtue of the Lie symmetry analysis approach. Meanwhile, the time-fractional Fujimoto–Watanabe equation is transformed into three kinds of reduced equations and the third of which is based on Erdélyi–Kober fractional integro-differential operators. …”
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    Lie Symmetry Analysis, Traveling Wave Solutions, and Conservation Laws to the (3 + 1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation by Huizhang Yang, Wei Liu, Yunmei Zhao

    Published 2020-01-01
    “…In this paper, the (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili(BKP) equation is studied applying Lie symmetry analysis. We apply the Lie symmetry method to the (3 + 1)-dimensional generalized BKP equation and derive its symmetry reductions. …”
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