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Hamiltonian structures of fermionic two-dimensional Toda lattice hierarchies
V. V. Gribanov, V. G. Kadyshevsky, A. S. Sorin
By exhibiting the corresponding Lax pair representations we propose a wide class of integrable two-dimensional (2D) fermionic Toda lattice (TL) hierarchies which includes the 2D N=…
Generalized fermionic discrete Toda hierarchy
V. V. Gribanov, V. G. Kadyshevsky, A. S. Sorin
Bi-Hamiltonian structure and Lax pair formulation with the spectral parameter of the generalized fermionic Toda lattice hierarchy as well as its bosonic and fermionic symmetries fo…
N=(1|1) supersymmetric dispersionless Toda lattice hierarchy
V. G. Kadyshevsky, A. S. Sorin
Generalizing the graded commutator in superalgebras, we propose a new bracket operation on the space of graded operators with an involution. We study properties of this operation a…
Supersymmetric Toda lattice hierarchies
V. G. Kadyshevsky, A. S. Sorin
The origin of the bosonic and fermionic solutions, constructed in [1,2,3], to the symmetry equations corresponding to the two-dimensional bosonic and N=(2|2) supersymmetric Toda la…