A theoretical investigation of nonplanar (cylindrical and spherical) amplitude modulation of dust acoustic waves (DAWs) in a four component dusty plasma including positive and negative dusts, Maxwellian ions and double spectral electron distribution (DSED) is carried out. The focusing modified nonlinear Schrödinger equation (MNLSE) is derived using the derivative expansion perturbation technique (DEPT). The limit of DSED to Maxwell distribution is discussed. The effects of the two spectral indices, $r$ and $q$, on the modulational instability (MI) growth rate are examined and it is deduced that increasing the value of $r$ and $q$ raises the MI growth rate. Additionally, the structure of the first and second-order dust acoustic (DA) rogue waves in the modulational unstable region is analyzed. The influences of both of $r$ and $q$ on the rogue wave amplitude (energy) are investigated. We found that increasing the value of $r$ enhances the rogue wave amplitude while the opposite behavior is found by increasing $q$ values. The findings of the present study are useful to interpret some physical phenomena in various plasma situations that found in space regions, such as Titan (the largest moon) of Saturn, auroral region and asteroid zones, where the effectiveness of non-Maxwellian particles such as DSED is existed.

对包括正负尘埃、麦克斯韦离子和双谱电子分布 (DSED) 的四分量尘埃等离子体中尘埃声波 (DAW) 的非平面（圆柱形和球形）幅度调制进行了理论研究。聚焦修正非线性薛定谔方程 (MNLSE) 是使用导数展开扰动技术 (DEPT) 推导出来的。讨论了 DSED 对麦克斯韦分布的限制。两个光谱指数的影响，$r$ 和 $q$, 对调制不稳定性 (MI) 增长率进行了检查，并推断增加 $r$ 和 $q$提高 MI 增长率。此外，分析了调制不稳定区域中的一阶和二阶尘埃声学（DA）流氓波的结构。两者的影响$r$ 和 $q$对流氓波的振幅（能量）进行了研究。我们发现增加值$r$ 增强流氓波振幅，而通过增加发现相反的行为 $q$值。本研究的结果有助于解释在太空区域发现的各种等离子体情况下的一些物理现象，例如土星的土卫六（最大的卫星）、极光区和小行星带，在那里非麦克斯韦粒子的有效性，如DSED 存在。