Gaussian solitary waves for the logarithmic Boussinesq equation and the logarithmic regularized Boussinesq equation

Abdul-Majid Wazwaz

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Gaussian solitary waves for the logarithmic Boussinesq equation and the logarithmic regularized Boussinesq equation

机译：对数Boussinesq方程和对数正则化Boussinesq方程的高斯孤波

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We investigate the logarithmic-Boussinesq equation (Iog-BE) for Gaussian solitary waves. We also derive Gaussian solitary wave solutions for the logarithmic-regularized Boussinesq equation (Iog-RBE). The logarithmic nonlinearity for both models will be generalized to obtain generalized Gaussian solutions. We show that both logarithmic models are characterized by their Gaussian solitons.

机译：我们研究了高斯孤波的对数-Boussinesq方程（Iog-BE）。我们还导出了对数正则化的Boussinesq方程（Iog-RBE）的高斯孤波解。两个模型的对数非线性将被广义化以获得广义高斯解。我们表明，两个对数模型均以其高斯孤子为特征。

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来源
《Ocean Engineering》 |2015年第15期|111-115|共5页
作者
Abdul-Majid Wazwaz;
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作者单位

Department of Mathematics, Saint Xavier University, Chicago, IL 60655, USA;

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原文格式 PDF
正文语种 eng
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关键词
Logarithmic Boussinesq equation; Logarithmic regularized Boussinesq equation; Gaussian solitons;

机译：对数Boussinesq方程;对数正则化的Boussinesq方程;高斯孤子;

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专利

1. Gaussian solitary waves to Boussinesq equation with dual dispersion and logarithmic nonlinearity [J] . Anjan Biswas, Mehmet Ekici, Abdullah Sonmezoglu Nonlinear Analysis : Modelling and Control . 2018,第6期

机译：具有双色散和对数非线性的Boussinesq方程的高斯孤立波。
2. Strong instability of solitary waves for nonlinear Klein–Gordon equations and generalized Boussinesq equations Instabilite forte d'ondes solitaires pour des equations de Klein–Gordon non lineaires et des equations generalisees de Boussinesq [J] . Yue Liu, Masahito Ohta, Grozdena Todorova Annales de l'Institut Henri Poincare. Analye non lineaire . 2007,第4期

机译：非线性Klein-Gordon方程和广义Boussinesq方程的孤立波的强烈不稳定性
3. Gaussian solitary waves for the logarithmic-KdV and the logarithmic-KP equations [J] . Abdul-Majid Wazwaz Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2014,第9期

机译：对数KdV和对数KP方程的高斯孤波
4. Diffraction of Solitary Waves by a Vertical Cylinder: Green-Naghdi and Boussinesq Equations [C] . D.R.Neill, R.C.Ertekin International conference on offshore mechanics and arctic engineering;OMAE1997 . 1997

机译：垂直圆柱对孤波的衍射：Green-Naghdi和Boussinesq方程
5. 2d boussinesq equations with logarithmically super-critical conditions. [D] . Tao, Lizheng. 2013

机译：具有对数超临界条件的二维boussinesq方程。
6. Solitary wave solutions of the fourth order Boussinesq equation through the exp(–Ф(η))-expansion method [O] . M Ali Akbar, Norhashidah Hj Mohd Ali -1

机译：通过exp（–Ф（η））-展开法求解四阶Boussinesq方程的孤波解
7. Gaussian solitary waves to Boussinesq equation with dual dispersion and logarithmic nonlinearity [O] . Anjan Biswasa, Mehmet Ekici, Abdullah Sonmezoglu 2018

机译：高斯孤立与双色散和对数非线性的Boussinesq方程
8. Stability of a solitary wave solution to a set of coupled Boussinesq-like equations. [R] . P. L. Christiansen S. Rionero P. S. Lomdahl V. Muto 1989

机译：一类耦合Boussinesq方程的孤立波解的稳定性。

Gaussian solitary waves for the logarithmic Boussinesq equation and the logarithmic regularized Boussinesq equation

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