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Gaussons Solitons of the (2+1)-dimensional and the (3+1)-dimensional logarithmic Boussinesq equations

机译:(2 + 1)维和(3 + 1)维对数Boussinesq方程的高斯孤子

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Purpose - The purpose of this paper is to concern with a reliable treatment of the (2+1)-dimensional and the (3+1)-dimensional logarithmic Boussinesq equations (BEs). The author uses the sense of the Gaussian solitary waves to determine these gaussons. The study confirms that models characterized by logarithmic nonlinearity give gaussons solitons of distinct physical structures. Design/methodology/approach - The proposed technique, as presented in this work has been shown to be very efficient for solving nonlinear equations with logarithmic nonlinearity. Findings - The (2+1) and the (3+1)-dimensional BEs were examined as well. The examined models feature interesting results in propagation of waves and fluid flow. Research limitations/implications - The paper presents a new efficient algorithm for the higher dimensional logarithmic BEs. Practical implications - The work shows the effect of logarithmic nonlinearity compared to other nonlinearities where standard solitons appear in the last case. Social implications - The work will benefit audience who are willing to examine the effect of logarithmic nonlinearity. Originality/value - The paper presents a new efficient algorithm for the higher dimensional logarithmic BEs.
机译:目的-本文的目的是要考虑对(2 + 1)维和(3 + 1)维对数Boussinesq方程(BEs)的可靠处理。作者使用高斯孤波的感觉来确定这些高斯。研究证实,以对数非线性为特征的模型给出了具有不同物理结构的高斯孤子。设计/方法/方法-如本文所述,所提出的技术对于求解具有对数非线性的非线性方程式非常有效。发现-还检查了(2 + 1)和(3 + 1)维BE。检验的模型在波和流体传播方面具有有趣的结果。研究局限性/意义-本文提出了一种新的高效算法,用于高维对数BE。实际意义-与其他在标准情况下出现孤子的非线性相比,这项工作显示了对数非线性的影响。社会影响-这项工作将使愿意研究对数非线性效应的观众受益。原创性/价值-本文提出了一种新的高效算法,用于高维对数BE。

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