本论文研究了柱几何条件下磁化等离子体中的相对论磁声孤立波,建立了弱相对论条件下关于磁声孤立波的部分相对论理论模型,利用约化摄动方法得到了描述相对论磁声孤立波的Cylindrical Korteweg-de Vries(CKdV)方程.研究结果表明柱磁声孤立波与一维情况下孤子的性质有很大的不同,在随时间的演化过程中柱磁声孤立波的振幅不断增加、宽度不断减小、运动速度也是增加的.
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