A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton Equation
Based on bilinear formulation of a (3 + 1)-dimensional soliton equation, lump solution and related interaction solutions are investigated. The lump solutions of the soliton equation are classified into three cases with nonsingularity conditions being given. The interaction solutions between lump and...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/9857527 |
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| _version_ | 1832561324642533376 |
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| author | Xi-zhong Liu Zhi-Mei Lou Xian-Min Qian Lamine Thiam |
| author_facet | Xi-zhong Liu Zhi-Mei Lou Xian-Min Qian Lamine Thiam |
| author_sort | Xi-zhong Liu |
| collection | DOAJ |
| description | Based on bilinear formulation of a (3 + 1)-dimensional soliton equation, lump solution and related interaction solutions are investigated. The lump solutions of the soliton equation are classified into three cases with nonsingularity conditions being given. The interaction solutions between lump and a stripe soliton are obtained in eight cases, which have interesting fusing and fission behaviors with changing time. The interaction solutions of the soliton equation between a lump and a resonant pair of stripe solitons are also given, and we find that the lump just exist for a finite period during the interaction process. |
| format | Article |
| id | doaj-art-e00e61beefe947f39b45d98380bed810 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-e00e61beefe947f39b45d98380bed8102025-02-03T01:25:28ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/98575279857527A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton EquationXi-zhong Liu0Zhi-Mei Lou1Xian-Min Qian2Lamine Thiam3Institute of Nonlinear Science, Shaoxing University, Shaoxing 312000, ChinaInstitute of Nonlinear Science, Shaoxing University, Shaoxing 312000, ChinaYuanpei College, Shaoxing University, Shaoxing 312000, ChinaInstitute of Nonlinear Science, Shaoxing University, Shaoxing 312000, ChinaBased on bilinear formulation of a (3 + 1)-dimensional soliton equation, lump solution and related interaction solutions are investigated. The lump solutions of the soliton equation are classified into three cases with nonsingularity conditions being given. The interaction solutions between lump and a stripe soliton are obtained in eight cases, which have interesting fusing and fission behaviors with changing time. The interaction solutions of the soliton equation between a lump and a resonant pair of stripe solitons are also given, and we find that the lump just exist for a finite period during the interaction process.http://dx.doi.org/10.1155/2019/9857527 |
| spellingShingle | Xi-zhong Liu Zhi-Mei Lou Xian-Min Qian Lamine Thiam A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton Equation Complexity |
| title | A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton Equation |
| title_full | A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton Equation |
| title_fullStr | A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton Equation |
| title_full_unstemmed | A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton Equation |
| title_short | A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton Equation |
| title_sort | study on lump and interaction solutions to a 3 1 dimensional soliton equation |
| url | http://dx.doi.org/10.1155/2019/9857527 |
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