The modified two-dimensional Toda lattice with self-consistent sources
Abstract In this paper, we derive the Grammian determinant solutions to the modified two-dimensional Toda lattice, and then we construct the modified two-dimensional Toda lattice with self-consistent sources via the source generation procedure. We show the integrability of the modified two-dimension...
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SpringerOpen
2017-09-01
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| Series: | Advances in Difference Equations |
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| Online Access: | http://link.springer.com/article/10.1186/s13662-017-1347-3 |
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doaj-3bdec2c7376344ff85ea5a02286d33cb2020-11-25T00:37:12ZengSpringerOpenAdvances in Difference Equations1687-18472017-09-012017111610.1186/s13662-017-1347-3The modified two-dimensional Toda lattice with self-consistent sourcesGegenhasi0School of Mathematical Sciences, Inner Mongolia UniversityAbstract In this paper, we derive the Grammian determinant solutions to the modified two-dimensional Toda lattice, and then we construct the modified two-dimensional Toda lattice with self-consistent sources via the source generation procedure. We show the integrability of the modified two-dimensional Toda lattice with self-consistent sources by presenting its Casoratian and Grammian structure of the N-soliton solution. It is also demonstrated that the commutativity between the source generation procedure and Bäcklund transformation is valid for the two-dimensional Toda lattice.http://link.springer.com/article/10.1186/s13662-017-1347-3modified two-dimensional Toda lattice equationsource generation procedureGrammian determinantCasorati determinant |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Gegenhasi |
| spellingShingle |
Gegenhasi The modified two-dimensional Toda lattice with self-consistent sources Advances in Difference Equations modified two-dimensional Toda lattice equation source generation procedure Grammian determinant Casorati determinant |
| author_facet |
Gegenhasi |
| author_sort |
Gegenhasi |
| title |
The modified two-dimensional Toda lattice with self-consistent sources |
| title_short |
The modified two-dimensional Toda lattice with self-consistent sources |
| title_full |
The modified two-dimensional Toda lattice with self-consistent sources |
| title_fullStr |
The modified two-dimensional Toda lattice with self-consistent sources |
| title_full_unstemmed |
The modified two-dimensional Toda lattice with self-consistent sources |
| title_sort |
modified two-dimensional toda lattice with self-consistent sources |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1847 |
| publishDate |
2017-09-01 |
| description |
Abstract In this paper, we derive the Grammian determinant solutions to the modified two-dimensional Toda lattice, and then we construct the modified two-dimensional Toda lattice with self-consistent sources via the source generation procedure. We show the integrability of the modified two-dimensional Toda lattice with self-consistent sources by presenting its Casoratian and Grammian structure of the N-soliton solution. It is also demonstrated that the commutativity between the source generation procedure and Bäcklund transformation is valid for the two-dimensional Toda lattice. |
| topic |
modified two-dimensional Toda lattice equation source generation procedure Grammian determinant Casorati determinant |
| url |
http://link.springer.com/article/10.1186/s13662-017-1347-3 |
| work_keys_str_mv |
AT gegenhasi themodifiedtwodimensionaltodalatticewithselfconsistentsources AT gegenhasi modifiedtwodimensionaltodalatticewithselfconsistentsources |
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1725302108388851712 |