K. Druzhkov

activity

20222026

most citedLagrangian formalism and the intrinsic geometry of PDEs

2 citations · 3 across the 9 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

nlin.SI2025

Invariant Reduction for Partial Differential Equations. III: Poisson Brackets

Kostya Druzhkov

We show that, under suitable conditions, finite-dimensional systems describing invariant solutions of partial differential equations (PDEs) inherit local Hamiltonian operators thro…

math.AP2025

A non-trivial conservation law with a trivial characteristic

Kostya Druzhkov

We show that the conservation law of the overdetermined system $u_{t} - 4 u_{x}^{3} - u_{xxx} = 0$ , $u_{y} = 0$ , associated with the characteristic $(u_{x y}, 0)$ , is non-trivial despite the…

nlin.SI2025

Invariant Reduction for Partial Differential Equations. II: The General Framework

Kostya Druzhkov, Alexei Cheviakov

For a system of partial differential equations (PDEs) $F = 0$ admitting a local (point, contact, or higher) symmetry $X$ with the characteristic $φ$ , invariant solutions satisfy th…