Employing Hirota’s bilinear form to find novel lump waves solutions to an important nonlinear model in fluid mechanics
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 differ...
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| Published in | Results in physics Vol. 29; p. 104689 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
01.10.2021
Elsevier |
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| Online Access | Get full text |
| ISSN | 2211-3797 2211-3797 |
| DOI | 10.1016/j.rinp.2021.104689 |
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| Abstract | 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. |
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| AbstractList | 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. 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. |
| ArticleNumber | 104689 |
| Author | Ghanbari, Behzad |
| Author_xml | – sequence: 1 givenname: Behzad surname: Ghanbari fullname: Ghanbari, Behzad email: b.ghanbary@yahoo.com organization: Department of Basic Science, Kermanshah University of Technology, Kermanshah, Iran |
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| Keywords | Hirota’s bilinear form Symbolic calculations Partial differential equations Lump wave solution |
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| Snippet | 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... |
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| SubjectTerms | Hirota’s bilinear form Lump wave solution Partial differential equations Symbolic calculations |
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| Title | Employing Hirota’s bilinear form to find novel lump waves solutions to an important nonlinear model in fluid mechanics |
| URI | https://dx.doi.org/10.1016/j.rinp.2021.104689 https://doaj.org/article/98da00c5f07440308cbe9c3216598e77 |
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