KMS Of Academy of mathematics and systems sciences, CAS
| The modified two-dimensional Toda lattice with self-consistent sources | |
| Gegenhasi, | |
| 2017-09-11 | |
| Source Publication | Advances in Difference Equations
 |
| ISSN | 1687-1847 |
| Volume | 2017Issue:1 |
| Abstract | AbstractIn 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 B?cklund transformation is valid for the two-dimensional Toda lattice. |
| Keyword | modified two-dimensional Toda lattice equation source generation procedure Grammian determinant Casorati determinant 37K10 37K40 |
| DOI | 10.1186/s13662-017-1347-3 |
| Language | 英语 |
| WOS ID | BMC:10.1186/s13662-017-1347-3 |
| Publisher | Springer International Publishing |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/387 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Gegenhasi, |
| Affiliation | |
| Recommended Citation GB/T 7714 | Gegenhasi,. The modified two-dimensional Toda lattice with self-consistent sources[J]. Advances in Difference Equations,2017,2017(1). |
| APA | Gegenhasi,.(2017).The modified two-dimensional Toda lattice with self-consistent sources.Advances in Difference Equations,2017(1). |
| MLA | Gegenhasi,."The modified two-dimensional Toda lattice with self-consistent sources".Advances in Difference Equations 2017.1(2017). |
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