Abundant new interaction solutions and nonlinear dynamics for the (3+1)-dimensional Hirota–Satsuma–Ito-like equation
In this article, the (3+1)-dimensional Hirota–Satsuma–Ito-like equation is investigated by the modified direct method, from which some interaction solutions among lump, stripe solitons, and Jacobi elliptic function wave solutions are obtained, which are crucial in understanding complex behaviors in...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2025-01-01
|
| Series: | Open Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/phys-2024-0114 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832570361808420864 |
|---|---|
| author | Liu Xiaotian Zhang Yongshuai Yang Yunqing |
| author_facet | Liu Xiaotian Zhang Yongshuai Yang Yunqing |
| author_sort | Liu Xiaotian |
| collection | DOAJ |
| description | In this article, the (3+1)-dimensional Hirota–Satsuma–Ito-like equation is investigated by the modified direct method, from which some interaction solutions among lump, stripe solitons, and Jacobi elliptic function wave solutions are obtained, which are crucial in understanding complex behaviors in nonlinear systems where multiple wave types coexist and interact. The corresponding evolution and dynamics for the interaction solutions under different parameters are discussed. Such interactions are key to modeling realistic systems in which multiple phenomena coexist, such as fluid mechanics, plasma physics, and optical systems, where waves can exchange energy and form stable or unstable patterns. These results reported in this article can reveal the theoretical mechanisms of stability, energy transfer, and pattern formation in nonlinear media and may raise the possibility of related experiments and potential applications in nonlinear science fields, such as oceanography, nonlinear optics, and so on. |
| format | Article |
| id | doaj-art-694fc3cd3fb34c05ae52b13a9abb0d31 |
| institution | Kabale University |
| issn | 2391-5471 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Physics |
| spelling | doaj-art-694fc3cd3fb34c05ae52b13a9abb0d312025-02-02T15:46:43ZengDe GruyterOpen Physics2391-54712025-01-01231287910.1515/phys-2024-0114Abundant new interaction solutions and nonlinear dynamics for the (3+1)-dimensional Hirota–Satsuma–Ito-like equationLiu Xiaotian0Zhang Yongshuai1Yang Yunqing2School of Science, Zhejiang University of Science and Technology, Hangzhou, 310023, ChinaDepartment of Mathematics, Shaoxing University, Shaoxing, 312000, ChinaSchool of Science, Zhejiang University of Science and Technology, Hangzhou, 310023, ChinaIn this article, the (3+1)-dimensional Hirota–Satsuma–Ito-like equation is investigated by the modified direct method, from which some interaction solutions among lump, stripe solitons, and Jacobi elliptic function wave solutions are obtained, which are crucial in understanding complex behaviors in nonlinear systems where multiple wave types coexist and interact. The corresponding evolution and dynamics for the interaction solutions under different parameters are discussed. Such interactions are key to modeling realistic systems in which multiple phenomena coexist, such as fluid mechanics, plasma physics, and optical systems, where waves can exchange energy and form stable or unstable patterns. These results reported in this article can reveal the theoretical mechanisms of stability, energy transfer, and pattern formation in nonlinear media and may raise the possibility of related experiments and potential applications in nonlinear science fields, such as oceanography, nonlinear optics, and so on.https://doi.org/10.1515/phys-2024-0114solitonlump solutioninteraction solutionhirota–satsuma–ito-like equation |
| spellingShingle | Liu Xiaotian Zhang Yongshuai Yang Yunqing Abundant new interaction solutions and nonlinear dynamics for the (3+1)-dimensional Hirota–Satsuma–Ito-like equation Open Physics soliton lump solution interaction solution hirota–satsuma–ito-like equation |
| title | Abundant new interaction solutions and nonlinear dynamics for the (3+1)-dimensional Hirota–Satsuma–Ito-like equation |
| title_full | Abundant new interaction solutions and nonlinear dynamics for the (3+1)-dimensional Hirota–Satsuma–Ito-like equation |
| title_fullStr | Abundant new interaction solutions and nonlinear dynamics for the (3+1)-dimensional Hirota–Satsuma–Ito-like equation |
| title_full_unstemmed | Abundant new interaction solutions and nonlinear dynamics for the (3+1)-dimensional Hirota–Satsuma–Ito-like equation |
| title_short | Abundant new interaction solutions and nonlinear dynamics for the (3+1)-dimensional Hirota–Satsuma–Ito-like equation |
| title_sort | abundant new interaction solutions and nonlinear dynamics for the 3 1 dimensional hirota satsuma ito like equation |
| topic | soliton lump solution interaction solution hirota–satsuma–ito-like equation |
| url | https://doi.org/10.1515/phys-2024-0114 |
| work_keys_str_mv | AT liuxiaotian abundantnewinteractionsolutionsandnonlineardynamicsforthe31dimensionalhirotasatsumaitolikeequation AT zhangyongshuai abundantnewinteractionsolutionsandnonlineardynamicsforthe31dimensionalhirotasatsumaitolikeequation AT yangyunqing abundantnewinteractionsolutionsandnonlineardynamicsforthe31dimensionalhirotasatsumaitolikeequation |