Bäcklund transformations for first and second Painlevé hierarchies.
Bidifferential calculus approach to AKNS hierarchies and their solutions.
Bi-integrable and tri-integrable couplings of a soliton hierarchy associated withSO(4)
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....
Bound states in completely integrable systems with two types of particles
By Magri's theorem, self-dual gravity is completely integrable.