37 citations · 47 across the 3 of their papers we have counts for
5 papers
On a class of inhomogeneous extensions for integrable evolution systems
A. Sergyeyev
In the present paper we prove the integrability (in the sense of existence of formal symmetry of infinite rank) for a class of block-triangular inhomogeneous extensions of (1+1)-di…
A simple way of making a Hamiltonian system into a bi-Hamiltonian one
A. Sergyeyev
Given a Poisson structure (or, equivalently, a Hamiltonian operator) , we show that its Lie derivative along a vector field defines another Poisson structure, which…
Locality of symmetries generated by nonhereditary, inhomogeneous, and time-dependent recursion operators: a new application for formal symmetries
Artur Sergyeyev
Using the methods of the theory of formal symmetries, we obtain new easily verifiable sufficient conditions for a recursion operator to produce a hierarchy of local generalized sym…
Time dependence and (non)commutativity of symmetries of evolution equations
A. Sergyeyev
We present easily verifiable sufficient conditions of time-independence and commutativity for local and nonlocal symmetries for a large class of homogeneous (1+1)-dimensional evolu…
On recursion operators and nonlocal symmetries of evolution equations
A. Sergyeyev
We consider the recursion operators with nonlocal terms of special form for evolution systems in (1+1) dimensions, and extend them to well-defined operators on the space of nonloca…