Dynamical analysis of lump solutions for (3+1) dimensional generalized KP-Boussinesq equation and Its dimensionally reduced equations
Dynamical analysis of lump solutions for (3+1) dimensional generalized KP-Boussinesq equation and Its dimensionally reduced equations
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DOI：
10.1088/1402-4896/aac8b8
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发表时间：
2018-07-01
期刊：
影响因子：
2.9
通讯作者：
Wazwaz, Abdul-Majid
中科院分区：
文献类型：
--
作者：
Kaur, Lakhveer;Wazwaz, Abdul-Majid
本文利用广义Kadomtsev-Petviashvili（KP）-Boussinesq方程的Hirota双线性形式，分析了（3+1）维广义Kadomtsev-Petviashvili（KP）-Boussinesq方程的一种新形式，并利用这种新形式探索了其集总解.给出了保证解的解析性、正性和合理局部化的充分必要条件。此外，还考虑了（3+1）维广义KP-Boussinesq方程的降维新形式，建立了具有自由参数的集总解，这些自由参数在影响和控制这些解的相移、传播方向、形状和能量分布方面起着至关重要的作用.我们已经描绘了提取的解决方案的轮廓特征，提出了一些密度图，三维图和二维图的自由参数的特定值。
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.