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.

中文翻译：

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斜磁场中快慢磁声波的非线性周期波传播


在存在倾斜磁场的情况下，研究了电子离子等离子体中的快磁声波和慢磁声椭圆曲线和孤立波结构。在低频波假设下，冷离子被认为是动态的，而无惯性电子被认为是等温加热的。应用双流体磁流体动力学模型来提出倾斜磁场存在下磁声波的基本动力学方程组。进行线性分析以研究磁声波的快模和慢模，并讨论了其磁场角的极限情况。通过还原摄动法进行非线性分析，并在适当的周期性边界条件下导出 Korteweg-de Vries (KdV) 方程。提出了快磁声波和慢磁声波的椭圆曲线和孤子解。使用文献中存在的空间等离子体参数讨论了磁场角和等离子体β的变化对快磁声波和慢磁声椭圆曲线和孤子波结构的影响。