@article{9828a7af2eef4fa1bb43635b7705eb10,
title = "The AKNS hierarchy revisited: A vertex operator approach and its lie-algebraic structure",
abstract = "A novel approach based upon vertex operator representation is devised to study the AKNS hierarchy. It is shown that this method reveals the remarkable properties of the AKNS hierarchy in relatively simple, rather natural and particularly effective ways. In addition, the connection of this vertex operator based approach with Lie-algebraic integrability schemes is analyzed and its relationship with τ-function representations is briefly discussed.",
keywords = "AKNS hierarchy, Lax integrability, Lie-algebraic approach, vertex operators",
author = "Denis Blackmore and Prykarpatsky, {Anatoliy K.}",
note = "Funding Information: D. Blackmore wishes to thank the National Science Foundation for support from NSF Grant CMMI — 1029809 and his coauthor for enlisting him in the efforts that produced this paper. Special thanks are due to the Scientific and Technology Research Council of Turkey (TUBITAK-2011) for partial support of the research of A. K. Prykarpatsky. A. K. Prykarpatsky cordially thanks Profs. M. V. Pavlov and V. H. Samoylenko for very useful discussions of the results obtained. The authors also wish to express their appreciation to the reviewers whose insightful comments helped to improve the paper.",
year = "2012",
month = mar,
doi = "10.1142/S1402925112500015",
language = "English (US)",
volume = "19",
journal = "Journal of Nonlinear Mathematical Physics",
issn = "1402-9251",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "1",
}