View Item 

Show simple item record

A deformation of the general zero‐curvature equations associated to simple Lie algebras

dc.contributor.authorKupershmidt, Boris A.en_US
dc.contributor.authorPeterson, Dale H.en_US
dc.date.accessioned2010-05-06T21:14:49Z
dc.date.available2010-05-06T21:14:49Z
dc.date.issued1983-09en_US
dc.identifier.citationKupershmidt, Boris; Peterson, Dale (1983). "A deformation of the general zero‐curvature equations associated to simple Lie algebras." Journal of Mathematical Physics 24(9): 2296-2300. <http://hdl.handle.net/2027.42/69850>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/69850
dc.description.abstractWe construct deformations and rational reductions for all the general zero‐curvature equations associated to simple complex Lie algebras [known as AKNS equations for sl(2, C)].en_US
dc.format.extent3102 bytes
dc.format.extent389626 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleA deformation of the general zero‐curvature equations associated to simple Lie algebrasen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, Ann Arbor, Michigan 48109en_US
dc.contributor.affiliationotherCNLS, MS B258, Los Alamos National Laboratory, Los Alamos, New Mexico 87545en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/69850/2/JMAPAQ-24-9-2296-1.pdf
dc.identifier.doi10.1063/1.525977en_US
dc.identifier.sourceJournal of Mathematical Physicsen_US
dc.identifier.citedreferenceR. M. Miura, C. S. Gardner, and M. D. Kruskal, “Korteweg‐de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion,” J. Math. Phys. 9, 1204–1209 (1968).en_US
dc.identifier.citedreferenceYu. I. Manin, “Algebraic Aspects of Nonlinear Differential Equations,” J. Sov. Math. 11, 1–122 (1979).en_US
dc.identifier.citedreferenceV. G. Drinfel’d and V. V. Sokolov, “Korteweg‐de Vries Type Equations and Simple Lie Algebras,” Dokl. Acad. Nauk SSSR 258, 11–16 (1981) (in Russian).en_US
dc.identifier.citedreferenceG. Wilson, “Commuting Flows and Conservation Laws for Lax Equations,” Math. Proc. Cambridge Philos. Soc. 86, 131–143 (1979).en_US
dc.identifier.citedreferenceG. Wilson, “The Modified Lax and Two‐Dimensional Toda Lattice Equations Associated with Simple Lie Algebras,” Ergodic Theory Dynamical Systems 1, 361–380 (1982).en_US
dc.identifier.citedreferenceB. A. Kupershmidt, “On the Nature of the Gardner Transformation,” J. Math. Phys. 22, 449–51 (1981).en_US
dc.identifier.citedreferenceB. A. Kupershmidt, “Deformations of Integrable Systems,” Proc. R. Ir. Acad. Sect. A (to appear).en_US
dc.owningcollnamePhysics, Department of


Files in this item

Name:
JMAPAQ-24-9-2296-1.pdf
Size:
380.4KB
Format:
PDF
View/Open

Show simple item record

Remediation of Harmful Language

The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.

Accessibility

If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.