3 papers
nlin.SI2026
A Lax representation, symmetries, and conservation laws for the three-dimensional Euler--Helmholtz equations
Oleg I. Morozov
We study the three-dimensional Euler--Helmholtz equations for an inviscid incompressible fluid. Under the Poincar{é} lemma assumption, the incompressibility condition is resolved…
math.AP2025
Nonlocal conservation laws for the two-dimensional Euler equation in vorticity form
Oleg I. Morozov
We combine the construction of the canonical conservation law and the nonlocal cosymmetry to derive a collection of nonlocal conservation laws for the two-dimensional Euler equatio…
nlin.SI2025
Lax representations for the magnetohydrodynamics equations
Oleg I. Morozov
We find two Lax representations for the reduced magnetohydrodynamics equations ({\sc rmhd}) and derive a B{ä}cklund transformation between the tangent and the cotangent coverings…