The N-soliton solutions of the (2+1)-dimensional Hirota–Satsuma–Ito equation
Through the Bäcklund transformation and Hirota bilinear form, the explicit solutions with localized structures for the (2+1)-dimensional Hirota–Satsuma–Ito equation are solved. These structures include several soliton molecules and hybrid structures, which mainly involve the Y-type solitons, lumps a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-12-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722007045 |
| _version_ | 1811209410035318784 |
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| author | Zheng-Yi Ma Jin-Xi Fei Wei-Ping Cao |
| author_facet | Zheng-Yi Ma Jin-Xi Fei Wei-Ping Cao |
| author_sort | Zheng-Yi Ma |
| collection | DOAJ |
| description | Through the Bäcklund transformation and Hirota bilinear form, the explicit solutions with localized structures for the (2+1)-dimensional Hirota–Satsuma–Ito equation are solved. These structures include several soliton molecules and hybrid structures, which mainly involve the Y-type solitons, lumps and breathers. All of the dynamic features are depicted in our paper. |
| first_indexed | 2024-04-12T04:37:46Z |
| format | Article |
| id | doaj.art-4c221f4387df4c83824f6e27d17008f4 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-12T04:37:46Z |
| publishDate | 2022-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-4c221f4387df4c83824f6e27d17008f42022-12-22T03:47:44ZengElsevierResults in Physics2211-37972022-12-0143106090The N-soliton solutions of the (2+1)-dimensional Hirota–Satsuma–Ito equationZheng-Yi Ma0Jin-Xi Fei1Wei-Ping Cao2Department of Mathematics, Lishui University, Lishui 323000, China; Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China; Corresponding author at: Department of Mathematics, Lishui University, Lishui 323000, China.Department of Photoelectric Engineering, Lishui University, Lishui 323000, ChinaDepartment of Photoelectric Engineering, Lishui University, Lishui 323000, ChinaThrough the Bäcklund transformation and Hirota bilinear form, the explicit solutions with localized structures for the (2+1)-dimensional Hirota–Satsuma–Ito equation are solved. These structures include several soliton molecules and hybrid structures, which mainly involve the Y-type solitons, lumps and breathers. All of the dynamic features are depicted in our paper.http://www.sciencedirect.com/science/article/pii/S2211379722007045(2+1)-dimensional Hirota–Satsuma–Ito equationExplicit solutionSoliton moleculeHybrid structure |
| spellingShingle | Zheng-Yi Ma Jin-Xi Fei Wei-Ping Cao The N-soliton solutions of the (2+1)-dimensional Hirota–Satsuma–Ito equation Results in Physics (2+1)-dimensional Hirota–Satsuma–Ito equation Explicit solution Soliton molecule Hybrid structure |
| title | The N-soliton solutions of the (2+1)-dimensional Hirota–Satsuma–Ito equation |
| title_full | The N-soliton solutions of the (2+1)-dimensional Hirota–Satsuma–Ito equation |
| title_fullStr | The N-soliton solutions of the (2+1)-dimensional Hirota–Satsuma–Ito equation |
| title_full_unstemmed | The N-soliton solutions of the (2+1)-dimensional Hirota–Satsuma–Ito equation |
| title_short | The N-soliton solutions of the (2+1)-dimensional Hirota–Satsuma–Ito equation |
| title_sort | n soliton solutions of the 2 1 dimensional hirota satsuma ito equation |
| topic | (2+1)-dimensional Hirota–Satsuma–Ito equation Explicit solution Soliton molecule Hybrid structure |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722007045 |
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