Low-frequency fast and slow magnetosonic waves propagating in electron ion plasmas with damping effects through ions and neutral atoms collisions are investigated. Linear wave analysis is performed to obtain dispersion relation. The reductive perturbation method is applied and it is shown that fast and slow modes of nonlinear magnetosonic wave are governed by damped Korteweg-de Vries (DKdV) equation in the presence of ion neutral collisions in plasmas. The analytical solution of DKdV soliton is presented under the assumption of weak collisional effects and numerical solutions of DKdV equation are also obtained using two-level finite difference scheme with the help of Runge–Kutta method at different plasma parameters. The damping of nonlinear fast and slow magnetosonic wave structures at different times are discussed in the context of space plasma situations where ions and neutral atoms collisions exist.

中文翻译：

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碰撞等离子体中快慢磁声波的非线性传播

研究了通过离子和中性原子碰撞在具有阻尼效应的电子离子等离子体中传播的低频快慢磁声波。进行线性波分析以获得色散关系。应用还原微扰方法，结果表明，在等离子体中存在离子中性碰撞时，非线性磁声波的快慢模式由阻尼 Korteweg-de Vries (DKdV) 方程控制。在弱碰撞效应假设下给出了DKdV孤子的解析解，并借助Runge-Kutta方法在不同等离子体参数下使用两级有限差分格式获得了DKdV方程的数值解。