7 papers
Integrable Mappings Related to the Extended Discrete KP Hierarchy
A. K. Svinin
We investigate self-similar solutions of the extended discrete KP hierarchy. It is shown that corresponding ansatzes lead to purely discrete equations with dependence on some numbe…
Extended discrete KP hierarchy and its dispersionless limit
Andrei K. Svinin
We exhibit the dispersionless limit of the extended discrete KP hierarchy.
Reductions of the Volterra lattice
A. K. Svinin
We exhibit three classes of algebraic constraints which are shown compatible with Volterra lattice.
Invariant Submanifolds of Darboux-KP Chain and Extension of the Discete KP Hierarchy
A. K. Svinin
Invariant submanifolds of the so-called Darboux-KP chain are investigated. It is shown that restriction of dynamics on some class of invariant submanifolds yields the extension of…
Extended discrete KP hierarchy and its reductions from a geometric viewpoint
A. K. Svinin
We interpret the recently suggested extended discrete KP (Toda lattice) hierarchy from a geometrical point of view. We show that the latter corresponds to the union of invariant su…
n-th discrete KP hierarchy
A. K. Svinin
We report an infinite class of discrete hierarchies which naturally generalize familiar discrete KP one.