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

• Published in: Results in physics Vol. 29; p. 104689
• Main Author: Ghanbari, Behzad
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.10.2021; Elsevier
• Subjects: Hirota’s bilinear form; Lump wave solution; Partial differential equations; Symbolic calculations; Hirota’s bilinear form; Symbolic calculations; Partial differential equations; Lump wave solution
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2021.104689

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. •A nonlinear partial differential equation in fluid mechanics is analyzed.•Analytical solutions for the model are obtained based on Hirota’s bilinear form.•Several types of solitary waves solutions for the equation is characterized.•The results demonstrate the reliability and efficiency of the developed approach.