218 research outputs found
Discrete transformation for matrix 3-waves problem in three dimensional space
Discrete transformation for 3- waves problem is constructed in explicit form.
Generalization of this system on the matrix case in three dimensional space
together with corresponding discrete transformation is presented also.Comment: LaTeX, 16 page
UV manifold and integrable systems in spaces of arbitrary dimension
The dimensional manifold with two mutually commutative operators of
differentiation is introduced. Nontrivial multidimensional integrable systems
connected with arbitrary graded (semisimple) algebras are constructed. The
general solution of them is presented in explicit form
Fermionic flows and tau function of the N=(1|1) superconformal Toda lattice hierarchy
An infinite class of fermionic flows of the N=(1|1) superconformal Toda
lattice hierarchy is constructed and their algebraic structure is studied. We
completely solve the semi-infinite N=(1|1) Toda lattice and chain hierarchies
and derive their tau functions, which may be relevant for building
supersymmetric matrix models. Their bosonic limit is also discussed.Comment: 11 pages, no figures, revised version published in Nucl. Phys.
The Solution of the N=2 Supersymmetric f-Toda Chain with Fixed Ends
The integrability of the recently introduced N=2 supersymmetric f-Toda chain,
under appropriate boundary conditions, is proven. The recurrent formulae for
its general solutions are derived. As an example, the solution for the simplest
case of boundary conditions is presented in explicit form.Comment: 15 pages, latex, no figure
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