58 citations · 765 across the 50 of their papers we have counts for
52 papers
Infinitely many conservation laws for generalized nonlinear progressive wave equation
A. Sergyeyev
We give a complete description of nontrivial local conservation laws of all orders for a natural generalization of the nonlinear progressive wave equation and, in particular, show…
Generalized symmetries, conservation laws and Hamiltonian structures of an isothermal no-slip drift flux model
Stanislav Opanasenko, Alexander Bihlo, Roman O. Popovych +1
We study the hydrodynamic-type system of differential equations modeling isothermal no-slip drift flux. Using the facts that the system is partially coupled and its subsystem reduc…
The Palatini star: exact solutions of the modified Lane-Emden equation
A. Sergyeyev, A. Wojnar
Two exact solutions for and of the Palatini-modified Lane-Emden equation are found. We have employed these solutions to describe a Palatini-Newtonian neutron star and c…
Integrable (3+1)-dimensional system with an algebraic Lax pair
A. Sergyeyev
We present a first example of an integrable (3+1)-dimensional dispersionless system with nonisospectral Lax pair involving algebraic, rather than rational, dependence on the spectr…
Contact Lax pairs and associated (3+1)-dimensional integrable dispersionless systems
M. Blaszak, A. Sergyeyev
We review the recent approach to the construction of (3+1)-dimensional integrable dispersionless partial differential systems based on their contact Lax pairs and the related -m…
Integrability of anti-self-dual vacuum Einstein equations with nonzero cosmological constant: an infinite hierarchy of nonlocal conservation laws
I. Krasil'shchik, A. Sergyeyev
We present an infinite hierarchy of nonlocal conservation laws for the Przanowski equation, an integrable second-order PDE locally equivalent to anti-self-dual vacuum Einstein equa…