Some anomalous exact solutions for the four-component coupled nonlinear Schrödinger equations on complex wave backgrounds
Abstract The coupled nonlinear Schrödinger (CNLS) equations are the important models for the study of the multicomponent Bose-Einstein condensates (BECs). In this paper, we study the four-components CNLS equations via Darboux transformation and obtain the N-soliton solutions with zero seed and non-z...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2022-09-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-022-20253-0 |
| _version_ | 1797998434522759168 |
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| author | Lu Wang Li Li Fajun Yu |
| author_facet | Lu Wang Li Li Fajun Yu |
| author_sort | Lu Wang |
| collection | DOAJ |
| description | Abstract The coupled nonlinear Schrödinger (CNLS) equations are the important models for the study of the multicomponent Bose-Einstein condensates (BECs). In this paper, we study the four-components CNLS equations via Darboux transformation and obtain the N-soliton solutions with zero seed and non-zero seed solutions( $$q_i=0$$ q i = 0 or $$q_i=e^{-2it})$$ q i = e - 2 i t ) . The 1-soliton solution and 2-soliton solution are calculated on complex wave backgrounds, the dark-bright-bright-bright soliton solutions and dark-dark-bright-bright soliton solutions are constructed. We can obtain a new class of dark-bright-bright-bright soliton solutions, which admit one-valley dark soliton in component $$q_1$$ q 1 and triple-hump bright solitons in the other three components. The collision properties between dark-dark-bright-bright solitons are considered, and the vector solitons are expected to be much more abundant than those of previously reported vector soliton collisions. |
| first_indexed | 2024-04-11T10:48:42Z |
| format | Article |
| id | doaj.art-4fc13cee97c74e4cb02639a4a710565b |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-04-11T10:48:42Z |
| publishDate | 2022-09-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-4fc13cee97c74e4cb02639a4a710565b2022-12-22T04:28:58ZengNature PortfolioScientific Reports2045-23222022-09-0112111610.1038/s41598-022-20253-0Some anomalous exact solutions for the four-component coupled nonlinear Schrödinger equations on complex wave backgroundsLu Wang0Li Li1Fajun Yu2School of Mathematics and Systematic Sciences, Shenyang Normal UniversitySchool of Mathematics and Systematic Sciences, Shenyang Normal UniversitySchool of Mathematics and Systematic Sciences, Shenyang Normal UniversityAbstract The coupled nonlinear Schrödinger (CNLS) equations are the important models for the study of the multicomponent Bose-Einstein condensates (BECs). In this paper, we study the four-components CNLS equations via Darboux transformation and obtain the N-soliton solutions with zero seed and non-zero seed solutions( $$q_i=0$$ q i = 0 or $$q_i=e^{-2it})$$ q i = e - 2 i t ) . The 1-soliton solution and 2-soliton solution are calculated on complex wave backgrounds, the dark-bright-bright-bright soliton solutions and dark-dark-bright-bright soliton solutions are constructed. We can obtain a new class of dark-bright-bright-bright soliton solutions, which admit one-valley dark soliton in component $$q_1$$ q 1 and triple-hump bright solitons in the other three components. The collision properties between dark-dark-bright-bright solitons are considered, and the vector solitons are expected to be much more abundant than those of previously reported vector soliton collisions.https://doi.org/10.1038/s41598-022-20253-0 |
| spellingShingle | Lu Wang Li Li Fajun Yu Some anomalous exact solutions for the four-component coupled nonlinear Schrödinger equations on complex wave backgrounds Scientific Reports |
| title | Some anomalous exact solutions for the four-component coupled nonlinear Schrödinger equations on complex wave backgrounds |
| title_full | Some anomalous exact solutions for the four-component coupled nonlinear Schrödinger equations on complex wave backgrounds |
| title_fullStr | Some anomalous exact solutions for the four-component coupled nonlinear Schrödinger equations on complex wave backgrounds |
| title_full_unstemmed | Some anomalous exact solutions for the four-component coupled nonlinear Schrödinger equations on complex wave backgrounds |
| title_short | Some anomalous exact solutions for the four-component coupled nonlinear Schrödinger equations on complex wave backgrounds |
| title_sort | some anomalous exact solutions for the four component coupled nonlinear schrodinger equations on complex wave backgrounds |
| url | https://doi.org/10.1038/s41598-022-20253-0 |
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