The modified two-dimensional Toda lattice with self-consistent sources

doi:10.1186/s13662-017-1347-3

	The modified two-dimensional Toda lattice with self-consistent sources
	Gegenhasi,
刊名	Advances in Difference Equations
	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
出版者	Springer International Publishing
WOS记录号	BMC:10.1186/S13662-017-1347-3
内容类型	期刊论文
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).