Various breathers, Lumps, line solitons and their interaction solutions for the (2+1)-dimensional variable-coefficient Sawada–Kotera equation
The main concern of this paper is to investigate the various of interaction solutions to the (2+1)-dimensional variable-coefficient Sawada–Kotera equation. Analytical one-, two-, three- and four-soliton solutions of this equation are constructed based on its Hirota bilinear form. Through granting ap...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-11-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722006064 |
| _version_ | 1828326669054640128 |
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| author | Shijie Zeng Yaqing Liu Xin Chen Wen-Xin Zhang |
| author_facet | Shijie Zeng Yaqing Liu Xin Chen Wen-Xin Zhang |
| author_sort | Shijie Zeng |
| collection | DOAJ |
| description | The main concern of this paper is to investigate the various of interaction solutions to the (2+1)-dimensional variable-coefficient Sawada–Kotera equation. Analytical one-, two-, three- and four-soliton solutions of this equation are constructed based on its Hirota bilinear form. Through granting appropriate parameters and coefficients, special cases lead to resonance X-type soliton, S-type, U-type or periodic-type soliton solutions. The interaction solutions of multiple line solitons, between S-type line soliton and breather, U-type or S-type line soliton and lump wave, two U-type or S-type or periodic-type breathers, two S-type lump waves, among U-type or S-type two line solitons and one lump are obtained analytically, and some figures are provided with a better understanding of the dynamic behavior. We are confident that the results obtained in this paper are novel, which may be helpful to study other higher-dimensional nonlinear evolution equations |
| first_indexed | 2024-04-13T19:43:29Z |
| format | Article |
| id | doaj.art-ba5a87201e8848088ac7d92680c92a35 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-13T19:43:29Z |
| publishDate | 2022-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-ba5a87201e8848088ac7d92680c92a352022-12-22T02:32:47ZengElsevierResults in Physics2211-37972022-11-0142105992Various breathers, Lumps, line solitons and their interaction solutions for the (2+1)-dimensional variable-coefficient Sawada–Kotera equationShijie Zeng0Yaqing Liu1Xin Chen2Wen-Xin Zhang3School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, ChinaCorresponding author.; School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, ChinaSchool of Applied Science, Beijing Information Science and Technology University, Beijing 100192, ChinaSchool of Applied Science, Beijing Information Science and Technology University, Beijing 100192, ChinaThe main concern of this paper is to investigate the various of interaction solutions to the (2+1)-dimensional variable-coefficient Sawada–Kotera equation. Analytical one-, two-, three- and four-soliton solutions of this equation are constructed based on its Hirota bilinear form. Through granting appropriate parameters and coefficients, special cases lead to resonance X-type soliton, S-type, U-type or periodic-type soliton solutions. The interaction solutions of multiple line solitons, between S-type line soliton and breather, U-type or S-type line soliton and lump wave, two U-type or S-type or periodic-type breathers, two S-type lump waves, among U-type or S-type two line solitons and one lump are obtained analytically, and some figures are provided with a better understanding of the dynamic behavior. We are confident that the results obtained in this paper are novel, which may be helpful to study other higher-dimensional nonlinear evolution equationshttp://www.sciencedirect.com/science/article/pii/S2211379722006064Variable-coefficient Sawada–Kotera equationHirota bilinear methodSoliton solutionBreatherLump |
| spellingShingle | Shijie Zeng Yaqing Liu Xin Chen Wen-Xin Zhang Various breathers, Lumps, line solitons and their interaction solutions for the (2+1)-dimensional variable-coefficient Sawada–Kotera equation Results in Physics Variable-coefficient Sawada–Kotera equation Hirota bilinear method Soliton solution Breather Lump |
| title | Various breathers, Lumps, line solitons and their interaction solutions for the (2+1)-dimensional variable-coefficient Sawada–Kotera equation |
| title_full | Various breathers, Lumps, line solitons and their interaction solutions for the (2+1)-dimensional variable-coefficient Sawada–Kotera equation |
| title_fullStr | Various breathers, Lumps, line solitons and their interaction solutions for the (2+1)-dimensional variable-coefficient Sawada–Kotera equation |
| title_full_unstemmed | Various breathers, Lumps, line solitons and their interaction solutions for the (2+1)-dimensional variable-coefficient Sawada–Kotera equation |
| title_short | Various breathers, Lumps, line solitons and their interaction solutions for the (2+1)-dimensional variable-coefficient Sawada–Kotera equation |
| title_sort | various breathers lumps line solitons and their interaction solutions for the 2 1 dimensional variable coefficient sawada kotera equation |
| topic | Variable-coefficient Sawada–Kotera equation Hirota bilinear method Soliton solution Breather Lump |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722006064 |
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