RUS  ENG
Full version
JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2023 Volume 63, Number 11, Pages 1894–1910 (Mi zvmmf11653)

Mathematical physics

Discontinuity structures and solitary waves in electromagnetic hydrodynamics associated with linear and nonlinear Alfvén wave resonances

I. B. Bakholdin

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia

Abstract: Nondissipative and weakly dissipative discontinuity structures are considered. A special numerical method for studying periodic waves is used. The location of branches of periodic solutions is investigated. Solitary waves and nondissipative discontinuity structures are sought as limiting solutions. It is found that, in addition to the resonance of long Alfvén waves with short fast and slow magnetosonic waves, there is also resonance with long waves, which leads to the occurrence of hybrid-type solitary waves and hybrid-type discontinuity structures. Partial differential equations are solved to find out if the found structures are actually observed.

Key words: two-fluid plasma, electromagnetic hydrodynamics, dispersion, solitary waves, discontinuity structure, numerical methods.

UDC: 519.63

Received: 16.06.2023
Revised: 03.07.2023
Accepted: 27.07.2023

DOI: 10.31857/S0044466923110054


 English version:
Computational Mathematics and Mathematical Physics, 2023, 63:11, 2123–2138

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2026