58 citations · 765 across the 50 of their papers we have counts for
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Deforming Lie algebras to Frobenius integrable non-autonomous Hamiltonian systems
Maciej Blaszak, Krzysztof Marciniak, Artur Sergyeyev
Motivated by the theory of Painlevé equations and associated hierarchies, we study non-autonomous Hamiltonian systems that are Frobenius integrable. We establish sufficient conditi…
Integrable (3+1)-dimensional systems with rational Lax pairs
A. Sergyeyev
The search for new integrable (3+1)-dimensional partial differential systems is among the most important challenges in the modern integrability theory. It turns out that such a sys…
Recursion Operators for Multidimensional Integrable PDEs
A. Sergyeyev
We present a novel construction of recursion operators for scalar second-order integrable multidimensional PDEs with isospectral Lax pairs written in terms of first-order scalar di…
Compacton solutions and (non)integrability for nonlinear evolutionary PDEs associated with a chain of prestressed granules
A. Sergyeyev, S. Skurativskyi, V. Vladimirov
We present the results of study of a nonlinear evolutionary PDE (more precisely, a one-parameter family of PDEs) associated with the chain of pre-stressed granules. The PDE in ques…
Extended symmetry analysis of isothermal no-slip drift flux model
Stanislav Opanasenko, Alexander Bihlo, Roman O. Popovych +1
We perform extended group analysis for a system of differential equations modeling an isothermal no-slip drift flux. The maximal Lie invariance algebra of this system is proved to…