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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Dynamical analysis of lump solutions for (3+1) dimensional generalized KP-Boussinesq equation and Its dimensionally reduced equations
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Dynamical analysis of lump solutions for (3+1) dimensional generalized KP-Boussinesq equation and Its dimensionally reduced equations

机译：（3 + 1）尺寸广义KP-BOUSINESQ方程的块状溶液的动力学分析及其尺寸减小方程

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摘要

This paper analyzes a new form of the (3+1) dimensional generalized Kadomtsev-Petviashvili (KP)-Boussinesq equation for exploring lump solutions by making use of its Hirota bilinear form. The sufficient and necessary conditions for assuring analyticity, positiveness and rational localization of the solutions are developed in a uniform manner. Furthermore, the dimensionally reduced new form of the (3+1) dimensional generalized KP-Boussinesq equation has been also considered to establish lump solutions with free parameters, which play a vital role in influencing and controlling the phase shifts, propagation directions, shapes and energy distributions for these solutions. We have depicted the profile characteristics of extracted solutions by presenting some density plots, three-dimensional plots and two-dimensional plots for particular values of the free parameters involved.
机译：本文分析了一种新形式的（3 + 1）尺寸广义Kadomtsev-PetviaShvili（KP）-BoussinesQ方程，通过利用其Hirota Bilinear形式来探索块状解决方案。 确保解析性，阳性和合理定位的充分和必要条件以均匀的方式开发。 此外，（3 + 1）尺寸广义KP-Boussinesq方程的尺寸减少的新形式也被认为是建立具有游离参数的块状溶液，这在影响和控制相移，传播方向，形状和形状和 这些解决方案的能量分布。 我们通过呈现一些密度图，三维图和二维图来描绘了提取的解决方案的轮廓特性，用于特定的自由参数值。

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