Bäcklund Transformation and Exact Solutions to a Generalized (3 + 1)-Dimensional Nonlinear Evolution Equation
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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/5598381 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832559197465608192 |
|---|---|
| author | Yali Shen Ying Yang |
| author_facet | Yali Shen Ying Yang |
| author_sort | Yali Shen |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3487f79aeb144febb608770e313dca9d |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-3487f79aeb144febb608770e313dca9d2025-02-03T01:30:38ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/5598381Bäcklund Transformation and Exact Solutions to a Generalized (3 + 1)-Dimensional Nonlinear Evolution EquationYali Shen0Ying Yang1School of Mathematics and Information TechnologySchool of Mathematics and Information TechnologyIn 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.http://dx.doi.org/10.1155/2022/5598381 |
| spellingShingle | Yali Shen Ying Yang Bäcklund Transformation and Exact Solutions to a Generalized (3 + 1)-Dimensional Nonlinear Evolution Equation Discrete Dynamics in Nature and Society |
| title | Bäcklund Transformation and Exact Solutions to a Generalized (3 + 1)-Dimensional Nonlinear Evolution Equation |
| title_full | Bäcklund Transformation and Exact Solutions to a Generalized (3 + 1)-Dimensional Nonlinear Evolution Equation |
| title_fullStr | Bäcklund Transformation and Exact Solutions to a Generalized (3 + 1)-Dimensional Nonlinear Evolution Equation |
| title_full_unstemmed | Bäcklund Transformation and Exact Solutions to a Generalized (3 + 1)-Dimensional Nonlinear Evolution Equation |
| title_short | Bäcklund Transformation and Exact Solutions to a Generalized (3 + 1)-Dimensional Nonlinear Evolution Equation |
| title_sort | backlund transformation and exact solutions to a generalized 3 1 dimensional nonlinear evolution equation |
| url | http://dx.doi.org/10.1155/2022/5598381 |
| work_keys_str_mv | AT yalishen backlundtransformationandexactsolutionstoageneralized31dimensionalnonlinearevolutionequation AT yingyang backlundtransformationandexactsolutionstoageneralized31dimensionalnonlinearevolutionequation |