Bäcklund transformation and exact solutions to a generalized \((3 + 1)\)-dimensional nonlinear evolution equation (Q2073580)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Bäcklund transformation and exact solutions to a generalized \((3 + 1)\)-dimensional nonlinear evolution equation |
scientific article; zbMATH DE number 7468553
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bäcklund transformation and exact solutions to a generalized \((3 + 1)\)-dimensional nonlinear evolution equation |
scientific article; zbMATH DE number 7468553 |
Statements
Bäcklund transformation and exact solutions to a generalized \((3 + 1)\)-dimensional nonlinear evolution equation (English)
0 references
2 February 2022
0 references
Summary: In this article, a generalized \((3 + 1)\)-dimensional nonlinear evolution equation (NLEE), which can be obtained by a multivariate polynomial, is investigated. Based on the Hirota bilinear method, the \(N\)-soliton solution and bilinear Bäcklund transformation (BBT) with explicit formulas are successfully constructed. By using BBT, two traveling wave solutions and a mixed solution of the generalized \((3 + 1)\)-dimensional NLEE are obtained. Furthermore, the lump and the interaction solutions for the equation are constructed. Finally, the dynamic properties of the lump and the interaction solutions are described graphically.
0 references
0 references
