Abstract
AbstractIn this paper, we study one parameter deformation of a coupled Toda equation with indefinite matrices basing on the theory of Hom-Lie algebras. We construct a Miura transformation between the coupled Toda equation with indefinite matrices and the deformed coupled Toda equation with indefinite matrices. The Miura transformation can help us in deriving the solutions of the deformed coupled Toda equation with indefinite matrices.
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics