Nonlinear Periodic Wave Propagation of Fast and Slow Magnetosonic Waves in the Presence of Oblique Magnetic Field

Fast and slow magnetosonic cnoidal and solitary wave structures in electron–ion plasmas are studied in the presence of an oblique magnetic field. Under the low-frequency wave assumption, cold ions are taken to be dynamic, while inertialess electrons are assumed as isothermally heated. The two-fluid magnetohydrodynamic model is applied to present the basic set of dynamic equations for magnetosonic waves in the presence of oblique magnetic field. The linear analysis is performed for studying fast and slow modes of magnetosonic waves and also discussed its limiting cases with magnetic field angle. The nonlinear analysis is done via the reductive perturbation method, and the Korteweg–de Vries (KdV) equation is derived with appropriate periodic boundary condition. The cnoidal wave and soliton solutions for both fast and slow magnetosonic waves are presented. The effects of variations of magnetic field angle and plasma beta on both fast and slow magnetosonic cnoidal and soliton wave structures are discussed using the space plasma parameters that exist in the literature.