Employing Hirota’s bilinear form to find novel lump waves solutions to an important nonlinear model in fluid mechanics

• Main Author: Behzad Ghanbari
• Format: Article
• Language: English
• Published: Elsevier 2021-10-01
• Series: Results in Physics
• Subjects: Partial differential equations; Hirota’s bilinear form; Lump wave solution; Symbolic calculations
• Online Access: http://www.sciencedirect.com/science/article/pii/S2211379721007695

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.