New type of source extension for a two-dimensional special lattice equation and determinant solutions
Abstract We present a new type of two-dimensional special lattice equations with self-consistent sources using the source generation procedure. Then we obtain the Grammy-type and Casorati-type determinant solutions of the coupled system. Further, we present the one-soliton and two-soliton solutions.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-01-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-021-03219-w |
| _version_ | 1818667473321328640 |
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| author | Hong-Yan Wang Guo-Qing Zhu |
| author_facet | Hong-Yan Wang Guo-Qing Zhu |
| author_sort | Hong-Yan Wang |
| collection | DOAJ |
| description | Abstract We present a new type of two-dimensional special lattice equations with self-consistent sources using the source generation procedure. Then we obtain the Grammy-type and Casorati-type determinant solutions of the coupled system. Further, we present the one-soliton and two-soliton solutions. |
| first_indexed | 2024-12-17T06:20:59Z |
| format | Article |
| id | doaj.art-d07b67bafdff4a429a22ac14b43be838 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-17T06:20:59Z |
| publishDate | 2021-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-d07b67bafdff4a429a22ac14b43be8382022-12-21T22:00:25ZengSpringerOpenAdvances in Difference Equations1687-18472021-01-012021111410.1186/s13662-021-03219-wNew type of source extension for a two-dimensional special lattice equation and determinant solutionsHong-Yan Wang0Guo-Qing Zhu1School of Mathematics, Renmin University of ChinaSchool of Mathematics and Statistics, Beijing Institute of TechnologyAbstract We present a new type of two-dimensional special lattice equations with self-consistent sources using the source generation procedure. Then we obtain the Grammy-type and Casorati-type determinant solutions of the coupled system. Further, we present the one-soliton and two-soliton solutions.https://doi.org/10.1186/s13662-021-03219-wTwo-dimensional special lattice equationSelf-consistent sourcesDeterminant solutionSoliton solution |
| spellingShingle | Hong-Yan Wang Guo-Qing Zhu New type of source extension for a two-dimensional special lattice equation and determinant solutions Advances in Difference Equations Two-dimensional special lattice equation Self-consistent sources Determinant solution Soliton solution |
| title | New type of source extension for a two-dimensional special lattice equation and determinant solutions |
| title_full | New type of source extension for a two-dimensional special lattice equation and determinant solutions |
| title_fullStr | New type of source extension for a two-dimensional special lattice equation and determinant solutions |
| title_full_unstemmed | New type of source extension for a two-dimensional special lattice equation and determinant solutions |
| title_short | New type of source extension for a two-dimensional special lattice equation and determinant solutions |
| title_sort | new type of source extension for a two dimensional special lattice equation and determinant solutions |
| topic | Two-dimensional special lattice equation Self-consistent sources Determinant solution Soliton solution |
| url | https://doi.org/10.1186/s13662-021-03219-w |
| work_keys_str_mv | AT hongyanwang newtypeofsourceextensionforatwodimensionalspeciallatticeequationanddeterminantsolutions AT guoqingzhu newtypeofsourceextensionforatwodimensionalspeciallatticeequationanddeterminantsolutions |