Some Exact Solutions to Generalized Kadomtsev-Petviashvili Equation
Most of the papers have explored the interactions between solitons with a zero background, while reports about exact solutions for nonzero background are rare. Hence, this paper is aimed at exploring the breather, lump, and interaction solutions with a small perturbation to (2+1)-dimensional general...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/9882817 |
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| author | Bao Wang Zhiqiang Chen |
| author_facet | Bao Wang Zhiqiang Chen |
| author_sort | Bao Wang |
| collection | DOAJ |
| description | Most of the papers have explored the interactions between solitons with a zero background, while reports about exact solutions for nonzero background are rare. Hence, this paper is aimed at exploring the breather, lump, and interaction solutions with a small perturbation to (2+1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation. General high-order periodic breather solutions are obtained using Hirota’s bilinear method with a small perturbation. At the same time, combining the use of long wave limit methods and module resonance constraints, general lump solutions and mixed solutions to gKP equation are generated. Finally, the space-time structures of the breather solutions, lump solutions, and interaction solutions are investigated and discussed. |
| format | Article |
| id | doaj-art-e7e3256d185b417a84c6cf93a4368cf5 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-e7e3256d185b417a84c6cf93a4368cf52025-02-03T01:00:44ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/9882817Some Exact Solutions to Generalized Kadomtsev-Petviashvili EquationBao Wang0Zhiqiang Chen1School of Electrical and Information EngineeringSchool of Electrical and Information EngineeringMost of the papers have explored the interactions between solitons with a zero background, while reports about exact solutions for nonzero background are rare. Hence, this paper is aimed at exploring the breather, lump, and interaction solutions with a small perturbation to (2+1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation. General high-order periodic breather solutions are obtained using Hirota’s bilinear method with a small perturbation. At the same time, combining the use of long wave limit methods and module resonance constraints, general lump solutions and mixed solutions to gKP equation are generated. Finally, the space-time structures of the breather solutions, lump solutions, and interaction solutions are investigated and discussed.http://dx.doi.org/10.1155/2022/9882817 |
| spellingShingle | Bao Wang Zhiqiang Chen Some Exact Solutions to Generalized Kadomtsev-Petviashvili Equation Advances in Mathematical Physics |
| title | Some Exact Solutions to Generalized Kadomtsev-Petviashvili Equation |
| title_full | Some Exact Solutions to Generalized Kadomtsev-Petviashvili Equation |
| title_fullStr | Some Exact Solutions to Generalized Kadomtsev-Petviashvili Equation |
| title_full_unstemmed | Some Exact Solutions to Generalized Kadomtsev-Petviashvili Equation |
| title_short | Some Exact Solutions to Generalized Kadomtsev-Petviashvili Equation |
| title_sort | some exact solutions to generalized kadomtsev petviashvili equation |
| url | http://dx.doi.org/10.1155/2022/9882817 |
| work_keys_str_mv | AT baowang someexactsolutionstogeneralizedkadomtsevpetviashviliequation AT zhiqiangchen someexactsolutionstogeneralizedkadomtsevpetviashviliequation |