Multiple-soliton and lump-kink solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation
In recent years, searching for analytic solutions to nonlinear evolution equations has become a popular topic. In this paper, a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation is proposed. With the help of symbolic calculation, the multiple-soliton and lump-kink solutions of the equati...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2020-06-01
|
| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S221137972030930X |
| _version_ | 1817989058173861888 |
|---|---|
| author | Xue Guan Wenjun Liu |
| author_facet | Xue Guan Wenjun Liu |
| author_sort | Xue Guan |
| collection | DOAJ |
| description | In recent years, searching for analytic solutions to nonlinear evolution equations has become a popular topic. In this paper, a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation is proposed. With the help of symbolic calculation, the multiple-soliton and lump-kink solutions of the equation are obtained in two different ways. Those analytic solutions are presented, and their dynamic properties are discussed through graphical presentation. The final result is helpful for studying the interaction between solitons in nonlinear mathematical physics. |
| first_indexed | 2024-04-14T00:41:27Z |
| format | Article |
| id | doaj.art-5687616c65a04292bd415629b7696741 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-14T00:41:27Z |
| publishDate | 2020-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-5687616c65a04292bd415629b76967412022-12-22T02:22:10ZengElsevierResults in Physics2211-37972020-06-0117103149Multiple-soliton and lump-kink solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equationXue Guan0Wenjun Liu1State Key Laboratory of Information Photonics and Optical Communications, School of Science, Beijing University of Posts and Telecommunications, P. O. Box 122, Beijing 100876, ChinaCorresponding author.; State Key Laboratory of Information Photonics and Optical Communications, School of Science, Beijing University of Posts and Telecommunications, P. O. Box 122, Beijing 100876, ChinaIn recent years, searching for analytic solutions to nonlinear evolution equations has become a popular topic. In this paper, a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation is proposed. With the help of symbolic calculation, the multiple-soliton and lump-kink solutions of the equation are obtained in two different ways. Those analytic solutions are presented, and their dynamic properties are discussed through graphical presentation. The final result is helpful for studying the interaction between solitons in nonlinear mathematical physics.http://www.sciencedirect.com/science/article/pii/S221137972030930XSolitonGeneralized Kadomtsev-Petviashvili equationMultiple-soliton solutionLump-kink solutionDynamic properties |
| spellingShingle | Xue Guan Wenjun Liu Multiple-soliton and lump-kink solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation Results in Physics Soliton Generalized Kadomtsev-Petviashvili equation Multiple-soliton solution Lump-kink solution Dynamic properties |
| title | Multiple-soliton and lump-kink solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation |
| title_full | Multiple-soliton and lump-kink solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation |
| title_fullStr | Multiple-soliton and lump-kink solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation |
| title_full_unstemmed | Multiple-soliton and lump-kink solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation |
| title_short | Multiple-soliton and lump-kink solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation |
| title_sort | multiple soliton and lump kink solutions for a generalized 3 1 dimensional kadomtsev petviashvili equation |
| topic | Soliton Generalized Kadomtsev-Petviashvili equation Multiple-soliton solution Lump-kink solution Dynamic properties |
| url | http://www.sciencedirect.com/science/article/pii/S221137972030930X |
| work_keys_str_mv | AT xueguan multiplesolitonandlumpkinksolutionsforageneralized31dimensionalkadomtsevpetviashviliequation AT wenjunliu multiplesolitonandlumpkinksolutionsforageneralized31dimensionalkadomtsevpetviashviliequation |