@article{cc098caf7be744d1942cae34880d9849,
title = "Hierarchy of (2 + 1)-dimensional nonlinear Schr{\"o}dinger equation, self-dual Yang-Mills equation, and toroidal Lie algebras",
abstract = "The hierarchy structure associated with a (2 + 1)-dimensional Nonlinear Schr{\"o}dinger equation is discussed as an extension of the theory of the KP hierarchy. Several methods to construct special solutions are given. The relation between the hierarchy and a representation of toroidal Lie algebras are established by using the language of free fermions. A relation to the self-dual Yang-Mills equation is also discussed.",
author = "S. Kakei and T. Ikeda and K. Takasaki",
note = "Funding Information: The authors would like to thank Dr. Yasuhiro Ohta, Dr. Yoshihisa Saito, Dr. Nari-masa Sasa for their interests and discussions. The first author is partially supported by Waseda University Grant for Special Research Project 2000A-155, and the Grant-in-Aid for Scientific Research (No. 12740115) from the Ministry of Education, Culture, Sports, Science and Technology.",
year = "2002",
doi = "10.1007/s00023-002-8638-1",
language = "English",
volume = "3",
pages = "817--845",
journal = "Annales Henri Poincare",
issn = "1424-0637",
publisher = "Birkhauser Verlag Basel",
number = "5",
}