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Lie Algebraic Approach to Nonlinear Integrable Couplings of Evolution Type
2012
Journal of Applied Nonlinear Dynamics
Based on two higher-dimensional extensions of Lie algebras, three kinds of specific Lie algebras are introduced. Upon constructing proper loop algebras, six isospectral matrix spectral problems are presented and they yield nonlinear integrable couplings of the Ablowitz-Kaup-Newell-Segur hierarchy, the Broer-Kaup hierarchy and the Kaup-Newell hierarchy. Especially, the reduced cases of the resulting integrable couplings give nonlinear integrable couplings of the nonlinear Schrödinger equation
doi:10.5890/jand.2011.12.001
fatcat:u7inkgdjmnfuhemw5bhbxafupy