Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation
By N-soliton solutions and a velocity resonance mechanism, soliton molecules are constructed for the KdV-Sawada-Kotera-Ramani (KSKR) equation, which is used to simulate the resonances of solitons in one-dimensional space. An asymmetric soliton can be formed by adjusting the distance between two soli...
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| Format: | Article |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/5534996 |
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| author | Na Xiong Ya-Xuan Yu Biao Li |
| author_facet | Na Xiong Ya-Xuan Yu Biao Li |
| author_sort | Na Xiong |
| collection | DOAJ |
| description | By N-soliton solutions and a velocity resonance mechanism, soliton molecules are constructed for the KdV-Sawada-Kotera-Ramani (KSKR) equation, which is used to simulate the resonances of solitons in one-dimensional space. An asymmetric soliton can be formed by adjusting the distance between two solitons of soliton molecule to small enough. The interactions among multiple soliton molecules for the equation are elastic. Then, full symmetry group is derived for the KSKR equation by the symmetry group direct method. From the full symmetry group, a general group invariant solution can be obtained from a known solution. |
| format | Article |
| id | doaj-art-1cb06522ab3848c186e113c60cf51afd |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-1cb06522ab3848c186e113c60cf51afd2025-02-03T06:47:02ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/55349965534996Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani EquationNa Xiong0Ya-Xuan Yu1Biao Li2College of Science and Technology, Ningbo University, Ningbo 315211, ChinaSchool of Mathematics and Statistics, Ningbo University, Ningbo 315211, ChinaSchool of Mathematics and Statistics, Ningbo University, Ningbo 315211, ChinaBy N-soliton solutions and a velocity resonance mechanism, soliton molecules are constructed for the KdV-Sawada-Kotera-Ramani (KSKR) equation, which is used to simulate the resonances of solitons in one-dimensional space. An asymmetric soliton can be formed by adjusting the distance between two solitons of soliton molecule to small enough. The interactions among multiple soliton molecules for the equation are elastic. Then, full symmetry group is derived for the KSKR equation by the symmetry group direct method. From the full symmetry group, a general group invariant solution can be obtained from a known solution.http://dx.doi.org/10.1155/2021/5534996 |
| spellingShingle | Na Xiong Ya-Xuan Yu Biao Li Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation Advances in Mathematical Physics |
| title | Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation |
| title_full | Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation |
| title_fullStr | Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation |
| title_full_unstemmed | Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation |
| title_short | Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation |
| title_sort | soliton molecules and full symmetry groups to the kdv sawada kotera ramani equation |
| url | http://dx.doi.org/10.1155/2021/5534996 |
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