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利用数值方法研究了双温离子、磁场、非均匀性和波的斜向传播对三维非线性尘埃声孤波振幅和宽度的影响。运用约化摄动法得到描述三维非线性尘埃声孤波的非标准变系数Korteweg-de Vries(KdV)方程。然后把非标准变系数KdV方程变为标准变系数KdV方程,并且得到了此标准变系数KdV方程的近似解析解。研究结果表明,此系统中存在着两种形式的孤波,即压缩型孤波和稀疏型孤波,外部磁场对三维非线性尘埃声孤波的宽度有影响,而对其振幅没有影响。此外,波的相速度与波的斜向传播和非均匀性有着非常紧密的联系。

Effect of magnetic field on solitary waves in inhomogeneous dusty plasmas with two temperature ions

The effect two temperature ions, the magnetic field, the inhomogeneity and the oblique propagation of waves on the amplitude and the width of the three dimensional dust acoustic solitary waves are studied numerically. By using the reductive perturbation theory, a modified variable coefficients Korteweg-de Vries (KdV) equation is derived. The approximate analytical solution of standard variable coefficients KdV equation derived from modified variable coefficients KdV equation is obtained. The results show that both compressive and rarefactive solitary waves exist. The amplitude of solitary waves is independent of the external magnetized field, but the width of solitary waves is dependent of the external magnetized field. Moreover, the phase velocity of waves is dependent of the oblique propagation of waves and inhomogeneity.