Author: Arthemy V. Kiselev
In this paper, we investigate the algebraic and geometric properties of
the hyperbolic Toda equations associated with
nondegenerate symmetrizable matrices K.
A hierarchy of analogs to the potential modified Korteweg-de Vries
equation is constructed, and its relation with the
hierarchy for the Korteweg-de Vries equation is
established. Group-theoretic structures for the dispersionless
(2+1)-dimensional Toda equation are obtained.
Geometric properties of the multi-component
nonlinear Schrödinger equation type systems
134 pages, AmS-LaTeX (LaTeX-2e).
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