Abstract: GENERALIZED BELTRAMI FIELDS. EXACT SOLUTIONS Neshchadim M. V. Sobolev Institute of Mathematics, Novosibirsk, Russia; neshch@math.nsc.ru We study the system of generalized Beltrami fields which are defined as solutions of the system rotn A = λA, where λ is a function and A = (P, Q,R) is a vector function of variables (x, y, z), n ∈ N. This system for λ = 1 and an arbitrary n is reduced to a completely integrable form. The result depends on the parity of the natural number n. For n = 1 and an arbitrary function λ, system is also reduced to a completely integrable form. The research was partly funded by the State Program of fundamental scientific research of the Sobolev Institute of Mathematics (SB RAS No I.1.5., project FWNF-2022-0009).

Cite: Neshchadim M.V.
Generalized Beltrami fields. Exact solutions
Russian-Chinese Conference "Differential and Difference Equations" 31 Oct - 6 Nov 2025