Some properties of cylindrical/spherical dust acoustic solitary waves have been studied in collisionless dusty plasma with variable charges under the influence of polarization force by reductive perturbation method. It is shown that the collisionless damping due to dust charge fluctuation causes the dust acoustic wave propagation to be described by the nonplanar damped Korteweg de Vries equation. By use of weighted residual method, a progressive wave solution to nonplanar damped KdV equation is presented for the first time. It is shown that dust charge fluctuation produce damping which is responsible for wave attenuation. The solution shows that as one goes towards the axis of the cylinder or centre of the sphere, the wave attenuates faster and the effects are shown in some 2D figures. Within a small amplitude limit, the influence of dust charge fluctuation, polarisation power, superthermality and ion temperature on the time evolution of dust acoustic solitons is also demonstrated. In laboratory experiments and space regions, findings obtained here may shed light on the salient characteristics of DA waves.

利用极化扰动方法研究了极化力作用下带可变电荷的无碰撞尘埃等离子体中圆柱/球形尘埃声孤立波的一些性质。结果表明，由于粉尘电荷的波动而产生的无碰撞阻尼使粉尘声波的传播用非平面阻尼的Korteweg de Vries方程来描述。通过加权残差法，首次提出了非平面阻尼KdV方程的渐进波解。结果表明，粉尘电荷的波动会产生阻尼，这是造成波衰减的原因。该解决方案表明，当人们朝圆柱体的轴或球体的中心行进时，该波衰减得更快，并且效果在某些2D图形中得以显示。在一个小的幅度限制内，还说明了粉尘电荷起伏，极化功率，过热度和离子温度对粉尘声孤子时间演化的影响。在实验室实验和空间区域中，此处获得的发现可能可以阐明DA波的显着特征。