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

doi:10.1186/s13662-017-1347-3

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	The modified two-dimensional Toda lattice with self-consistent sources
	Gegenhasi,
	2017-09-11
发表期刊	Advances in Difference Equations
ISSN	1687-1847
卷号	2017 期号:1
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.
关键词	modified two-dimensional Toda lattice equation source generation procedure Grammian determinant Casorati determinant 37K10 37K40
DOI	10.1186/s13662-017-1347-3
语种	英语
WOS记录号	BMC:10.1186/s13662-017-1347-3
出版者	Springer International Publishing
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/387
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).