N-Fold Darboux Transformation for the Classical Three-Component Nonlinear Schrödinger Equations and Its Exact Solutions
In this paper, by using the gauge transformation and the Lax pairs, the N-fold Darboux transformation (DT) of the classical three-component nonlinear Schrödinger (NLS) equations is given. In addition, by taking seed solutions and using the DT, exact solutions for the given NLS equations are construc...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/7/733 |
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| author | Yu-Shan Bai Peng-Xiang Su Wen-Xiu Ma |
| author_facet | Yu-Shan Bai Peng-Xiang Su Wen-Xiu Ma |
| author_sort | Yu-Shan Bai |
| collection | DOAJ |
| description | In this paper, by using the gauge transformation and the Lax pairs, the N-fold Darboux transformation (DT) of the classical three-component nonlinear Schrödinger (NLS) equations is given. In addition, by taking seed solutions and using the DT, exact solutions for the given NLS equations are constructed. |
| first_indexed | 2024-03-10T12:49:49Z |
| format | Article |
| id | doaj.art-e886c781eda54418b38d7d5e408f45c2 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T12:49:49Z |
| publishDate | 2021-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-e886c781eda54418b38d7d5e408f45c22023-11-21T13:13:55ZengMDPI AGMathematics2227-73902021-03-019773310.3390/math9070733N-Fold Darboux Transformation for the Classical Three-Component Nonlinear Schrödinger Equations and Its Exact SolutionsYu-Shan Bai0Peng-Xiang Su1Wen-Xiu Ma2Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaDepartment of Mathematics, Zhejiang Normal University, Jinhua 321004, ChinaIn this paper, by using the gauge transformation and the Lax pairs, the N-fold Darboux transformation (DT) of the classical three-component nonlinear Schrödinger (NLS) equations is given. In addition, by taking seed solutions and using the DT, exact solutions for the given NLS equations are constructed.https://www.mdpi.com/2227-7390/9/7/733classical three-component nonlinear Schrödinger equationsN-fold darboux transformationexact solutions |
| spellingShingle | Yu-Shan Bai Peng-Xiang Su Wen-Xiu Ma N-Fold Darboux Transformation for the Classical Three-Component Nonlinear Schrödinger Equations and Its Exact Solutions Mathematics classical three-component nonlinear Schrödinger equations N-fold darboux transformation exact solutions |
| title | N-Fold Darboux Transformation for the Classical Three-Component Nonlinear Schrödinger Equations and Its Exact Solutions |
| title_full | N-Fold Darboux Transformation for the Classical Three-Component Nonlinear Schrödinger Equations and Its Exact Solutions |
| title_fullStr | N-Fold Darboux Transformation for the Classical Three-Component Nonlinear Schrödinger Equations and Its Exact Solutions |
| title_full_unstemmed | N-Fold Darboux Transformation for the Classical Three-Component Nonlinear Schrödinger Equations and Its Exact Solutions |
| title_short | N-Fold Darboux Transformation for the Classical Three-Component Nonlinear Schrödinger Equations and Its Exact Solutions |
| title_sort | n fold darboux transformation for the classical three component nonlinear schrodinger equations and its exact solutions |
| topic | classical three-component nonlinear Schrödinger equations N-fold darboux transformation exact solutions |
| url | https://www.mdpi.com/2227-7390/9/7/733 |
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