Current Journal of Applied Science and Technology

Lie Algebra Structures Associated with Zero Curvature Equations and Generalized Zero Curvature Equations

Wen-Xiu Ma *

Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA.

*Author to whom correspondence should be addressed.

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Abstract

Binary operations are introduced for triples satisfying zero curvature equations and quadruples satisfying generalized zero curvature equations, and it is shown that such operations define Lie algebra structures on the corresponding spaces of triples and quadruples.

Keywords: Zero curvature equation, Lie algebra, Symmetry

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