Employing Hirota's bilinear form to find novel lump waves solutions to an important nonlinear model in fluid mechanics
Employing Hirota's bilinear form to find novel lump waves solutions to an important nonlinear model in fluid mechanics
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DOI：
10.1016/j.rinp.2021.104689
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发表时间：
2021-09-03
影响因子：
5.3
通讯作者：
Ghanbari, Behzad
中科院分区：
文献类型：
--
作者：
Ghanbari, Behzad
本文利用Hirota的双线性形式得到了广义Caudrey-Dodd-Gibbon-Kotera-Sawada方程的新的块波解。该方程是流体力学领域中应用最广泛的方程之一。使用所采用的技术在文件中，几个不同类别的解决方案的方程检索。虽然这些解决方案具有不同的结构，但它们都是在同一方法的旗帜下出现的。这是该方法与其他方法相比的优势之一。本文中还添加了一些最终解决方案的3D图表。这些技巧也可方便地用于求解其它偏微分方程。
In this paper, Hirota's bilinear form has been employed to find novel lump waves solutions for the generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation. This equation is one of the most widely used equations in the field of fluid mechanics. Using the employed technique in the paper, several different categories of solutions to the equation are retrieved. Although these solutions have distinct structures, but all of them have emerged under the banner of the same method. This feature is one of the advantages of the method compared to other methods. 3D diagrams of some of the resulting solutions have also been added to the article. The techniques can be easily adopted in solving other partial differential equations.