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Bakalov, B., Horozov, E., Yakimov, M. (1996)
Serdica Mathematical Journal
We define Bäcklund–Darboux transformations in Sato’s Grassmannian. They can be regarded as Darboux transformations on maximal algebras of commuting ordinary differential operators. We describe the action of these transformations on related objects: wave functions, tau-functions and spectral algebras.
Jian Zhang, Chiping Zhang, Yunan Cui (2017)
Open Mathematics
In our paper, the theory of bi-integrable and tri-integrable couplings is generalized to the discrete case. First, based on the six-dimensional real special orthogonal Lie algebra SO(4), we construct bi-integrable and tri-integrable couplings associated with SO(4) for a hierarchy from the enlarged matrix spectral problems and the enlarged zero curvature equations. Moreover, Hamiltonian structures of the obtained bi-integrable and tri-integrable couplings are constructed by the variational identities....
Dorn, Harald, Jorjadze, George (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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