15 citations · 94 across the 32 of their papers we have counts for
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nlin.SI2004
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…
nlin.SI2004
Extended discrete KP hierarchy and its dispersionless limit
Andrei K. Svinin
We exhibit the dispersionless limit of the extended discrete KP hierarchy.
nlin.SI2004
Reductions of the Volterra lattice
A. K. Svinin
We exhibit three classes of algebraic constraints which are shown compatible with Volterra lattice.
nlin.SI2004
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…