The modified two-dimensional Toda lattice with self-consistent sources
文献类型:期刊论文
| 作者 | Gegenhasi, |
| 刊名 | Advances in Difference Equations
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| 出版日期 | 2017-09-11 |
| 卷号 | 2017期号:1 |
| 关键词 | modified two-dimensional Toda lattice equation source generation procedure Grammian determinant Casorati determinant 37K10 37K40 |
| ISSN号 | 1687-1847 |
| DOI | 10.1186/s13662-017-1347-3 |
| 英文摘要 | 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. |
| 语种 | 英语 |
| WOS记录号 | BMC:10.1186/S13662-017-1347-3 |
| 出版者 | Springer International Publishing |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/386] ![]() |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Gegenhasi, |
| 作者单位 | |
| 推荐引用方式 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). |
入库方式: OAI收割
来源:数学与系统科学研究院
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